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Finding the Fourth Proportional to 1,776.92, 2,660.71 and 1,254.08

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Solution

The fourth proportional to 1,776.92, 2,660.71 and 1,254.08 is: 1,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.92 : 2,660.71 = 1,254.08 : x
  2. Step 2: Convert to fraction form
    1,776.92/2,660.71 = 1,254.08/x
  3. Step 3: Cross multiply
    1,776.92x = 2,660.71 × 1,254.08
  4. Step 4: Simplify right side
    1,776.92x = 3,336,746.71
  5. Step 5: Solve for x
    x = 3,336,746.71/1,776.92
  6. Step 6: Final answer
    x = 1,877.83

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