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Finding the Fourth Proportional to 2,225.61, 3,338.42 and 582.15

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Solution

The fourth proportional to 2,225.61, 3,338.42 and 582.15 is: 873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.61 : 3,338.42 = 582.15 : x
  2. Step 2: Convert to fraction form
    2,225.61/3,338.42 = 582.15/x
  3. Step 3: Cross multiply
    2,225.61x = 3,338.42 × 582.15
  4. Step 4: Simplify right side
    2,225.61x = 1,943,461.20
  5. Step 5: Solve for x
    x = 1,943,461.20/2,225.61
  6. Step 6: Final answer
    x = 873.23

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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.