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Finding the Fourth Proportional to 1,490.24, 2,055.20 and 1,098.24

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Solution

The fourth proportional to 1,490.24, 2,055.20 and 1,098.24 is: 1,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.24 : 2,055.20 = 1,098.24 : x
  2. Step 2: Convert to fraction form
    1,490.24/2,055.20 = 1,098.24/x
  3. Step 3: Cross multiply
    1,490.24x = 2,055.20 × 1,098.24
  4. Step 4: Simplify right side
    1,490.24x = 2,257,102.85
  5. Step 5: Solve for x
    x = 2,257,102.85/1,490.24
  6. Step 6: Final answer
    x = 1,514.59

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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.