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Finding the Fourth Proportional to 2,478.71, 3,718.58 and 1,017.98

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Solution

The fourth proportional to 2,478.71, 3,718.58 and 1,017.98 is: 1,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.71 : 3,718.58 = 1,017.98 : x
  2. Step 2: Convert to fraction form
    2,478.71/3,718.58 = 1,017.98/x
  3. Step 3: Cross multiply
    2,478.71x = 3,718.58 × 1,017.98
  4. Step 4: Simplify right side
    2,478.71x = 3,785,444.27
  5. Step 5: Solve for x
    x = 3,785,444.27/2,478.71
  6. Step 6: Final answer
    x = 1,527.19

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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.