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Finding the Fourth Proportional to 2,041.12, 3,059.33 and 928.87

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Solution

The fourth proportional to 2,041.12, 3,059.33 and 928.87 is: 1,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.12 : 3,059.33 = 928.87 : x
  2. Step 2: Convert to fraction form
    2,041.12/3,059.33 = 928.87/x
  3. Step 3: Cross multiply
    2,041.12x = 3,059.33 × 928.87
  4. Step 4: Simplify right side
    2,041.12x = 2,841,719.86
  5. Step 5: Solve for x
    x = 2,841,719.86/2,041.12
  6. Step 6: Final answer
    x = 1,392.24

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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.