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Finding the Fourth Proportional to 1,807.62, 2,710.04 and 832.56

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Solution

The fourth proportional to 1,807.62, 2,710.04 and 832.56 is: 1,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.62 : 2,710.04 = 832.56 : x
  2. Step 2: Convert to fraction form
    1,807.62/2,710.04 = 832.56/x
  3. Step 3: Cross multiply
    1,807.62x = 2,710.04 × 832.56
  4. Step 4: Simplify right side
    1,807.62x = 2,256,266.74
  5. Step 5: Solve for x
    x = 2,256,266.74/1,807.62
  6. Step 6: Final answer
    x = 1,248.20

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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.