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Finding the Fourth Proportional to 1,381.52, 1,904.54 and 987.86

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Solution

The fourth proportional to 1,381.52, 1,904.54 and 987.86 is: 1,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.52 : 1,904.54 = 987.86 : x
  2. Step 2: Convert to fraction form
    1,381.52/1,904.54 = 987.86/x
  3. Step 3: Cross multiply
    1,381.52x = 1,904.54 × 987.86
  4. Step 4: Simplify right side
    1,381.52x = 1,881,408.13
  5. Step 5: Solve for x
    x = 1,881,408.13/1,381.52
  6. Step 6: Final answer
    x = 1,361.84

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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.