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Finding the Fourth Proportional to 1,398.53, 2,114.34 and 1,387.01

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Solution

The fourth proportional to 1,398.53, 2,114.34 and 1,387.01 is: 2,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.53 : 2,114.34 = 1,387.01 : x
  2. Step 2: Convert to fraction form
    1,398.53/2,114.34 = 1,387.01/x
  3. Step 3: Cross multiply
    1,398.53x = 2,114.34 × 1,387.01
  4. Step 4: Simplify right side
    1,398.53x = 2,932,600.15
  5. Step 5: Solve for x
    x = 2,932,600.15/1,398.53
  6. Step 6: Final answer
    x = 2,096.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.