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Finding the Fourth Proportional to 3,032.72, 4,182.72 and 2,037.32

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Solution

The fourth proportional to 3,032.72, 4,182.72 and 2,037.32 is: 2,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.72 : 4,182.72 = 2,037.32 : x
  2. Step 2: Convert to fraction form
    3,032.72/4,182.72 = 2,037.32/x
  3. Step 3: Cross multiply
    3,032.72x = 4,182.72 × 2,037.32
  4. Step 4: Simplify right side
    3,032.72x = 8,521,539.11
  5. Step 5: Solve for x
    x = 8,521,539.11/3,032.72
  6. Step 6: Final answer
    x = 2,809.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.