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Finding the Fourth Proportional to 2,867.96, 4,301.61 and 893.74

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Solution

The fourth proportional to 2,867.96, 4,301.61 and 893.74 is: 1,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.96 : 4,301.61 = 893.74 : x
  2. Step 2: Convert to fraction form
    2,867.96/4,301.61 = 893.74/x
  3. Step 3: Cross multiply
    2,867.96x = 4,301.61 × 893.74
  4. Step 4: Simplify right side
    2,867.96x = 3,844,510.17
  5. Step 5: Solve for x
    x = 3,844,510.17/2,867.96
  6. Step 6: Final answer
    x = 1,340.50

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Similar ratio
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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.