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Finding the Fourth Proportional to 1,415.52, 1,952.16 and 1,083.30

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Solution

The fourth proportional to 1,415.52, 1,952.16 and 1,083.30 is: 1,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.52 : 1,952.16 = 1,083.30 : x
  2. Step 2: Convert to fraction form
    1,415.52/1,952.16 = 1,083.30/x
  3. Step 3: Cross multiply
    1,415.52x = 1,952.16 × 1,083.30
  4. Step 4: Simplify right side
    1,415.52x = 2,114,774.93
  5. Step 5: Solve for x
    x = 2,114,774.93/1,415.52
  6. Step 6: Final answer
    x = 1,493.99

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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.