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Finding the Fourth Proportional to 1,540.61, 2,126.06 and 841.98

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Solution

The fourth proportional to 1,540.61, 2,126.06 and 841.98 is: 1,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.61 : 2,126.06 = 841.98 : x
  2. Step 2: Convert to fraction form
    1,540.61/2,126.06 = 841.98/x
  3. Step 3: Cross multiply
    1,540.61x = 2,126.06 × 841.98
  4. Step 4: Simplify right side
    1,540.61x = 1,790,095.79
  5. Step 5: Solve for x
    x = 1,790,095.79/1,540.61
  6. Step 6: Final answer
    x = 1,161.94

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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.