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Finding the Fourth Proportional to 1,378.14, 1,902.06 and 1,332.58

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Solution

The fourth proportional to 1,378.14, 1,902.06 and 1,332.58 is: 1,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.14 : 1,902.06 = 1,332.58 : x
  2. Step 2: Convert to fraction form
    1,378.14/1,902.06 = 1,332.58/x
  3. Step 3: Cross multiply
    1,378.14x = 1,902.06 × 1,332.58
  4. Step 4: Simplify right side
    1,378.14x = 2,534,637.60
  5. Step 5: Solve for x
    x = 2,534,637.60/1,378.14
  6. Step 6: Final answer
    x = 1,839.18

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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.