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Finding the Fourth Proportional to 1,473.52, 2,200.75 and 1,165.72

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Solution

The fourth proportional to 1,473.52, 2,200.75 and 1,165.72 is: 1,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.52 : 2,200.75 = 1,165.72 : x
  2. Step 2: Convert to fraction form
    1,473.52/2,200.75 = 1,165.72/x
  3. Step 3: Cross multiply
    1,473.52x = 2,200.75 × 1,165.72
  4. Step 4: Simplify right side
    1,473.52x = 2,565,458.29
  5. Step 5: Solve for x
    x = 2,565,458.29/1,473.52
  6. Step 6: Final answer
    x = 1,741.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.