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Finding the Fourth Proportional to 2,496, 3,443.04 and 1,562.88

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Solution

The fourth proportional to 2,496, 3,443.04 and 1,562.88 is: 2,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496 : 3,443.04 = 1,562.88 : x
  2. Step 2: Convert to fraction form
    2,496/3,443.04 = 1,562.88/x
  3. Step 3: Cross multiply
    2,496x = 3,443.04 × 1,562.88
  4. Step 4: Simplify right side
    2,496x = 5,381,058.36
  5. Step 5: Solve for x
    x = 5,381,058.36/2,496
  6. Step 6: Final answer
    x = 2,155.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.