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Finding the Fourth Proportional to 2,232.47, 3,347.78 and 845.55

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Solution

The fourth proportional to 2,232.47, 3,347.78 and 845.55 is: 1,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.47 : 3,347.78 = 845.55 : x
  2. Step 2: Convert to fraction form
    2,232.47/3,347.78 = 845.55/x
  3. Step 3: Cross multiply
    2,232.47x = 3,347.78 × 845.55
  4. Step 4: Simplify right side
    2,232.47x = 2,830,711.15
  5. Step 5: Solve for x
    x = 2,830,711.15/2,232.47
  6. Step 6: Final answer
    x = 1,267.98

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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.