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Finding the Fourth Proportional to 1,415.61, 2,109.92 and 1,404.14

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Solution

The fourth proportional to 1,415.61, 2,109.92 and 1,404.14 is: 2,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.61 : 2,109.92 = 1,404.14 : x
  2. Step 2: Convert to fraction form
    1,415.61/2,109.92 = 1,404.14/x
  3. Step 3: Cross multiply
    1,415.61x = 2,109.92 × 1,404.14
  4. Step 4: Simplify right side
    1,415.61x = 2,962,605.50
  5. Step 5: Solve for x
    x = 2,962,605.50/1,415.61
  6. Step 6: Final answer
    x = 2,092.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.