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Finding the Fourth Proportional to 2,073.74, 3,110.49 and 841.25

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Solution

The fourth proportional to 2,073.74, 3,110.49 and 841.25 is: 1,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.74 : 3,110.49 = 841.25 : x
  2. Step 2: Convert to fraction form
    2,073.74/3,110.49 = 841.25/x
  3. Step 3: Cross multiply
    2,073.74x = 3,110.49 × 841.25
  4. Step 4: Simplify right side
    2,073.74x = 2,616,699.71
  5. Step 5: Solve for x
    x = 2,616,699.71/2,073.74
  6. Step 6: Final answer
    x = 1,261.83

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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.