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Finding the Fourth Proportional to 1,505.36, 2,258.04 and 992.24

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Solution

The fourth proportional to 1,505.36, 2,258.04 and 992.24 is: 1,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.36 : 2,258.04 = 992.24 : x
  2. Step 2: Convert to fraction form
    1,505.36/2,258.04 = 992.24/x
  3. Step 3: Cross multiply
    1,505.36x = 2,258.04 × 992.24
  4. Step 4: Simplify right side
    1,505.36x = 2,240,517.61
  5. Step 5: Solve for x
    x = 2,240,517.61/1,505.36
  6. Step 6: Final answer
    x = 1,488.36

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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.