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Finding the Fourth Proportional to 2,024.16, 3,035.69 and 563.39

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Solution

The fourth proportional to 2,024.16, 3,035.69 and 563.39 is: 844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.16 : 3,035.69 = 563.39 : x
  2. Step 2: Convert to fraction form
    2,024.16/3,035.69 = 563.39/x
  3. Step 3: Cross multiply
    2,024.16x = 3,035.69 × 563.39
  4. Step 4: Simplify right side
    2,024.16x = 1,710,277.39
  5. Step 5: Solve for x
    x = 1,710,277.39/2,024.16
  6. Step 6: Final answer
    x = 844.93

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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.