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Finding the Fourth Proportional to 1,871.24, 2,807.47 and 897.42

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Solution

The fourth proportional to 1,871.24, 2,807.47 and 897.42 is: 1,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.24 : 2,807.47 = 897.42 : x
  2. Step 2: Convert to fraction form
    1,871.24/2,807.47 = 897.42/x
  3. Step 3: Cross multiply
    1,871.24x = 2,807.47 × 897.42
  4. Step 4: Simplify right side
    1,871.24x = 2,519,470.47
  5. Step 5: Solve for x
    x = 2,519,470.47/1,871.24
  6. Step 6: Final answer
    x = 1,346.42

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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.