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Finding the Fourth Proportional to 2,931.07, 4,393.56 and 1,832.91

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Solution

The fourth proportional to 2,931.07, 4,393.56 and 1,832.91 is: 2,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.07 : 4,393.56 = 1,832.91 : x
  2. Step 2: Convert to fraction form
    2,931.07/4,393.56 = 1,832.91/x
  3. Step 3: Cross multiply
    2,931.07x = 4,393.56 × 1,832.91
  4. Step 4: Simplify right side
    2,931.07x = 8,053,000.06
  5. Step 5: Solve for x
    x = 8,053,000.06/2,931.07
  6. Step 6: Final answer
    x = 2,747.46

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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.