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Finding the Fourth Proportional to 2,493.64, 3,740.46 and 1,032.85

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Solution

The fourth proportional to 2,493.64, 3,740.46 and 1,032.85 is: 1,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.64 : 3,740.46 = 1,032.85 : x
  2. Step 2: Convert to fraction form
    2,493.64/3,740.46 = 1,032.85/x
  3. Step 3: Cross multiply
    2,493.64x = 3,740.46 × 1,032.85
  4. Step 4: Simplify right side
    2,493.64x = 3,863,334.11
  5. Step 5: Solve for x
    x = 3,863,334.11/2,493.64
  6. Step 6: Final answer
    x = 1,549.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.