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Finding the Fourth Proportional to 2,073.59, 3,110.25 and 841.10

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Solution

The fourth proportional to 2,073.59, 3,110.25 and 841.10 is: 1,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.59 : 3,110.25 = 841.10 : x
  2. Step 2: Convert to fraction form
    2,073.59/3,110.25 = 841.10/x
  3. Step 3: Cross multiply
    2,073.59x = 3,110.25 × 841.10
  4. Step 4: Simplify right side
    2,073.59x = 2,616,031.28
  5. Step 5: Solve for x
    x = 2,616,031.28/2,073.59
  6. Step 6: Final answer
    x = 1,261.60

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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.