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Finding the Fourth Proportional to 2,880.57, 4,321.01 and 932.93

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Solution

The fourth proportional to 2,880.57, 4,321.01 and 932.93 is: 1,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.57 : 4,321.01 = 932.93 : x
  2. Step 2: Convert to fraction form
    2,880.57/4,321.01 = 932.93/x
  3. Step 3: Cross multiply
    2,880.57x = 4,321.01 × 932.93
  4. Step 4: Simplify right side
    2,880.57x = 4,031,199.86
  5. Step 5: Solve for x
    x = 4,031,199.86/2,880.57
  6. Step 6: Final answer
    x = 1,399.45

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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.