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Finding the Fourth Proportional to 2,024.99, 3,037.48 and 563.95

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Solution

The fourth proportional to 2,024.99, 3,037.48 and 563.95 is: 845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.99 : 3,037.48 = 563.95 : x
  2. Step 2: Convert to fraction form
    2,024.99/3,037.48 = 563.95/x
  3. Step 3: Cross multiply
    2,024.99x = 3,037.48 × 563.95
  4. Step 4: Simplify right side
    2,024.99x = 1,712,986.85
  5. Step 5: Solve for x
    x = 1,712,986.85/2,024.99
  6. Step 6: Final answer
    x = 845.92

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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.