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Finding the Fourth Proportional to 2,809.64, 4,213.18 and 1,510.76

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Solution

The fourth proportional to 2,809.64, 4,213.18 and 1,510.76 is: 2,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.64 : 4,213.18 = 1,510.76 : x
  2. Step 2: Convert to fraction form
    2,809.64/4,213.18 = 1,510.76/x
  3. Step 3: Cross multiply
    2,809.64x = 4,213.18 × 1,510.76
  4. Step 4: Simplify right side
    2,809.64x = 6,365,103.82
  5. Step 5: Solve for x
    x = 6,365,103.82/2,809.64
  6. Step 6: Final answer
    x = 2,265.45

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.