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Finding the Fourth Proportional to 1,932.25, 2,898.55 and 545.60

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Solution

The fourth proportional to 1,932.25, 2,898.55 and 545.60 is: 818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.25 : 2,898.55 = 545.60 : x
  2. Step 2: Convert to fraction form
    1,932.25/2,898.55 = 545.60/x
  3. Step 3: Cross multiply
    1,932.25x = 2,898.55 × 545.60
  4. Step 4: Simplify right side
    1,932.25x = 1,581,448.88
  5. Step 5: Solve for x
    x = 1,581,448.88/1,932.25
  6. Step 6: Final answer
    x = 818.45

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