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Finding the Fourth Proportional to 2,506.71, 3,760.41 and 1,045.53

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Solution

The fourth proportional to 2,506.71, 3,760.41 and 1,045.53 is: 1,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.71 : 3,760.41 = 1,045.53 : x
  2. Step 2: Convert to fraction form
    2,506.71/3,760.41 = 1,045.53/x
  3. Step 3: Cross multiply
    2,506.71x = 3,760.41 × 1,045.53
  4. Step 4: Simplify right side
    2,506.71x = 3,931,611.29
  5. Step 5: Solve for x
    x = 3,931,611.29/2,506.71
  6. Step 6: Final answer
    x = 1,568.43

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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.