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Finding the Fourth Proportional to 2,034.72, 2,807.76 and 1,150.32

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Solution

The fourth proportional to 2,034.72, 2,807.76 and 1,150.32 is: 1,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.72 : 2,807.76 = 1,150.32 : x
  2. Step 2: Convert to fraction form
    2,034.72/2,807.76 = 1,150.32/x
  3. Step 3: Cross multiply
    2,034.72x = 2,807.76 × 1,150.32
  4. Step 4: Simplify right side
    2,034.72x = 3,229,822.48
  5. Step 5: Solve for x
    x = 3,229,822.48/2,034.72
  6. Step 6: Final answer
    x = 1,587.35

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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.