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Finding the Fourth Proportional to 2,506.81, 3,459.37 and 1,387.78

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Solution

The fourth proportional to 2,506.81, 3,459.37 and 1,387.78 is: 1,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.81 : 3,459.37 = 1,387.78 : x
  2. Step 2: Convert to fraction form
    2,506.81/3,459.37 = 1,387.78/x
  3. Step 3: Cross multiply
    2,506.81x = 3,459.37 × 1,387.78
  4. Step 4: Simplify right side
    2,506.81x = 4,800,837.58
  5. Step 5: Solve for x
    x = 4,800,837.58/2,506.81
  6. Step 6: Final answer
    x = 1,915.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.