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Finding the Fourth Proportional to 1,549.52, 2,138.26 and 841.35

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Solution

The fourth proportional to 1,549.52, 2,138.26 and 841.35 is: 1,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.52 : 2,138.26 = 841.35 : x
  2. Step 2: Convert to fraction form
    1,549.52/2,138.26 = 841.35/x
  3. Step 3: Cross multiply
    1,549.52x = 2,138.26 × 841.35
  4. Step 4: Simplify right side
    1,549.52x = 1,799,014.36
  5. Step 5: Solve for x
    x = 1,799,014.36/1,549.52
  6. Step 6: Final answer
    x = 1,161.01

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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.