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Finding the Fourth Proportional to 1,415.52, 1,962.36 and 1,327.20

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Solution

The fourth proportional to 1,415.52, 1,962.36 and 1,327.20 is: 1,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.52 : 1,962.36 = 1,327.20 : x
  2. Step 2: Convert to fraction form
    1,415.52/1,962.36 = 1,327.20/x
  3. Step 3: Cross multiply
    1,415.52x = 1,962.36 × 1,327.20
  4. Step 4: Simplify right side
    1,415.52x = 2,604,444.19
  5. Step 5: Solve for x
    x = 2,604,444.19/1,415.52
  6. Step 6: Final answer
    x = 1,839.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.