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Finding the Fourth Proportional to 2,024.60, 3,036.90 and 563.86

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Solution

The fourth proportional to 2,024.60, 3,036.90 and 563.86 is: 845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.60 : 3,036.90 = 563.86 : x
  2. Step 2: Convert to fraction form
    2,024.60/3,036.90 = 563.86/x
  3. Step 3: Cross multiply
    2,024.60x = 3,036.90 × 563.86
  4. Step 4: Simplify right side
    2,024.60x = 1,712,386.43
  5. Step 5: Solve for x
    x = 1,712,386.43/2,024.60
  6. Step 6: Final answer
    x = 845.79

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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.