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Finding the Fourth Proportional to 1,397.96, 2,099.10 and 1,270.52

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Solution

The fourth proportional to 1,397.96, 2,099.10 and 1,270.52 is: 1,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.96 : 2,099.10 = 1,270.52 : x
  2. Step 2: Convert to fraction form
    1,397.96/2,099.10 = 1,270.52/x
  3. Step 3: Cross multiply
    1,397.96x = 2,099.10 × 1,270.52
  4. Step 4: Simplify right side
    1,397.96x = 2,666,948.53
  5. Step 5: Solve for x
    x = 2,666,948.53/1,397.96
  6. Step 6: Final answer
    x = 1,907.74

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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.