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Finding the Fourth Proportional to 2,024.32, 3,036.53 and 563.47

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Solution

The fourth proportional to 2,024.32, 3,036.53 and 563.47 is: 845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.32 : 3,036.53 = 563.47 : x
  2. Step 2: Convert to fraction form
    2,024.32/3,036.53 = 563.47/x
  3. Step 3: Cross multiply
    2,024.32x = 3,036.53 × 563.47
  4. Step 4: Simplify right side
    2,024.32x = 1,710,993.56
  5. Step 5: Solve for x
    x = 1,710,993.56/2,024.32
  6. Step 6: Final answer
    x = 845.22

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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.