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Finding the Fourth Proportional to 1,514.00, 2,265.57 and 1,098.01

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Solution

The fourth proportional to 1,514.00, 2,265.57 and 1,098.01 is: 1,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.00 : 2,265.57 = 1,098.01 : x
  2. Step 2: Convert to fraction form
    1,514.00/2,265.57 = 1,098.01/x
  3. Step 3: Cross multiply
    1,514.00x = 2,265.57 × 1,098.01
  4. Step 4: Simplify right side
    1,514.00x = 2,487,612.85
  5. Step 5: Solve for x
    x = 2,487,612.85/1,514.00
  6. Step 6: Final answer
    x = 1,643.07

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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.