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Finding the Fourth Proportional to 1,490.88, 2,057.12 and 901.46

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Solution

The fourth proportional to 1,490.88, 2,057.12 and 901.46 is: 1,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.88 : 2,057.12 = 901.46 : x
  2. Step 2: Convert to fraction form
    1,490.88/2,057.12 = 901.46/x
  3. Step 3: Cross multiply
    1,490.88x = 2,057.12 × 901.46
  4. Step 4: Simplify right side
    1,490.88x = 1,854,396.60
  5. Step 5: Solve for x
    x = 1,854,396.60/1,490.88
  6. Step 6: Final answer
    x = 1,243.83

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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.