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Finding the Fourth Proportional to 1,320.07, 1,977.19 and 1,142.27

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Solution

The fourth proportional to 1,320.07, 1,977.19 and 1,142.27 is: 1,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.07 : 1,977.19 = 1,142.27 : x
  2. Step 2: Convert to fraction form
    1,320.07/1,977.19 = 1,142.27/x
  3. Step 3: Cross multiply
    1,320.07x = 1,977.19 × 1,142.27
  4. Step 4: Simplify right side
    1,320.07x = 2,258,484.82
  5. Step 5: Solve for x
    x = 2,258,484.82/1,320.07
  6. Step 6: Final answer
    x = 1,710.88

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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.