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Finding the Fourth Proportional to 2,582.71, 3,875.72 and 939.10

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Solution

The fourth proportional to 2,582.71, 3,875.72 and 939.10 is: 1,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.71 : 3,875.72 = 939.10 : x
  2. Step 2: Convert to fraction form
    2,582.71/3,875.72 = 939.10/x
  3. Step 3: Cross multiply
    2,582.71x = 3,875.72 × 939.10
  4. Step 4: Simplify right side
    2,582.71x = 3,639,683.96
  5. Step 5: Solve for x
    x = 3,639,683.96/2,582.71
  6. Step 6: Final answer
    x = 1,409.25

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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.