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Finding the Fourth Proportional to 2,024.40, 3,036.06 and 563.70

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Solution

The fourth proportional to 2,024.40, 3,036.06 and 563.70 is: 845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.40 : 3,036.06 = 563.70 : x
  2. Step 2: Convert to fraction form
    2,024.40/3,036.06 = 563.70/x
  3. Step 3: Cross multiply
    2,024.40x = 3,036.06 × 563.70
  4. Step 4: Simplify right side
    2,024.40x = 1,711,427.02
  5. Step 5: Solve for x
    x = 1,711,427.02/2,024.40
  6. Step 6: Final answer
    x = 845.40

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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.