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Finding the Fourth Proportional to 2,372.95, 3,557.44 and 987.27

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Solution

The fourth proportional to 2,372.95, 3,557.44 and 987.27 is: 1,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.95 : 3,557.44 = 987.27 : x
  2. Step 2: Convert to fraction form
    2,372.95/3,557.44 = 987.27/x
  3. Step 3: Cross multiply
    2,372.95x = 3,557.44 × 987.27
  4. Step 4: Simplify right side
    2,372.95x = 3,512,153.79
  5. Step 5: Solve for x
    x = 3,512,153.79/2,372.95
  6. Step 6: Final answer
    x = 1,480.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.