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Finding the Fourth Proportional to 2,585.56, 3,877.64 and 1,763.68

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Solution

The fourth proportional to 2,585.56, 3,877.64 and 1,763.68 is: 2,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.56 : 3,877.64 = 1,763.68 : x
  2. Step 2: Convert to fraction form
    2,585.56/3,877.64 = 1,763.68/x
  3. Step 3: Cross multiply
    2,585.56x = 3,877.64 × 1,763.68
  4. Step 4: Simplify right side
    2,585.56x = 6,838,916.12
  5. Step 5: Solve for x
    x = 6,838,916.12/2,585.56
  6. Step 6: Final answer
    x = 2,645.04

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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.