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Finding the Fourth Proportional to 2,024.68, 3,037.04 and 563.94

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Solution

The fourth proportional to 2,024.68, 3,037.04 and 563.94 is: 845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.68 : 3,037.04 = 563.94 : x
  2. Step 2: Convert to fraction form
    2,024.68/3,037.04 = 563.94/x
  3. Step 3: Cross multiply
    2,024.68x = 3,037.04 × 563.94
  4. Step 4: Simplify right side
    2,024.68x = 1,712,708.34
  5. Step 5: Solve for x
    x = 1,712,708.34/2,024.68
  6. Step 6: Final answer
    x = 845.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.