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Finding the Fourth Proportional to 1,809.76, 2,499.84 and 1,461.76

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Solution

The fourth proportional to 1,809.76, 2,499.84 and 1,461.76 is: 2,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.76 : 2,499.84 = 1,461.76 : x
  2. Step 2: Convert to fraction form
    1,809.76/2,499.84 = 1,461.76/x
  3. Step 3: Cross multiply
    1,809.76x = 2,499.84 × 1,461.76
  4. Step 4: Simplify right side
    1,809.76x = 3,654,166.12
  5. Step 5: Solve for x
    x = 3,654,166.12/1,809.76
  6. Step 6: Final answer
    x = 2,019.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.