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Finding the Fourth Proportional to 2,024.64, 3,037.23 and 708.66

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Solution

The fourth proportional to 2,024.64, 3,037.23 and 708.66 is: 1,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.64 : 3,037.23 = 708.66 : x
  2. Step 2: Convert to fraction form
    2,024.64/3,037.23 = 708.66/x
  3. Step 3: Cross multiply
    2,024.64x = 3,037.23 × 708.66
  4. Step 4: Simplify right side
    2,024.64x = 2,152,363.41
  5. Step 5: Solve for x
    x = 2,152,363.41/2,024.64
  6. Step 6: Final answer
    x = 1,063.08

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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.