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Finding the Fourth Proportional to 2,280.56, 3,421.02 and 1,125.68

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Solution

The fourth proportional to 2,280.56, 3,421.02 and 1,125.68 is: 1,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.56 : 3,421.02 = 1,125.68 : x
  2. Step 2: Convert to fraction form
    2,280.56/3,421.02 = 1,125.68/x
  3. Step 3: Cross multiply
    2,280.56x = 3,421.02 × 1,125.68
  4. Step 4: Simplify right side
    2,280.56x = 3,850,973.79
  5. Step 5: Solve for x
    x = 3,850,973.79/2,280.56
  6. Step 6: Final answer
    x = 1,688.61

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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.