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Finding the Fourth Proportional to 1,853.71, 2,558.13 and 1,046.17

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Solution

The fourth proportional to 1,853.71, 2,558.13 and 1,046.17 is: 1,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.71 : 2,558.13 = 1,046.17 : x
  2. Step 2: Convert to fraction form
    1,853.71/2,558.13 = 1,046.17/x
  3. Step 3: Cross multiply
    1,853.71x = 2,558.13 × 1,046.17
  4. Step 4: Simplify right side
    1,853.71x = 2,676,238.14
  5. Step 5: Solve for x
    x = 2,676,238.14/1,853.71
  6. Step 6: Final answer
    x = 1,443.72

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Why These Related Problems?

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