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Finding the Fourth Proportional to 3,000.45, 4,497.31 and 1,024.23

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Solution

The fourth proportional to 3,000.45, 4,497.31 and 1,024.23 is: 1,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.45 : 4,497.31 = 1,024.23 : x
  2. Step 2: Convert to fraction form
    3,000.45/4,497.31 = 1,024.23/x
  3. Step 3: Cross multiply
    3,000.45x = 4,497.31 × 1,024.23
  4. Step 4: Simplify right side
    3,000.45x = 4,606,279.82
  5. Step 5: Solve for x
    x = 4,606,279.82/3,000.45
  6. Step 6: Final answer
    x = 1,535.20

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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.