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Finding the Fourth Proportional to 2,062.35, 2,846.04 and 1,118.17

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Solution

The fourth proportional to 2,062.35, 2,846.04 and 1,118.17 is: 1,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.35 : 2,846.04 = 1,118.17 : x
  2. Step 2: Convert to fraction form
    2,062.35/2,846.04 = 1,118.17/x
  3. Step 3: Cross multiply
    2,062.35x = 2,846.04 × 1,118.17
  4. Step 4: Simplify right side
    2,062.35x = 3,182,355.91
  5. Step 5: Solve for x
    x = 3,182,355.91/2,062.35
  6. Step 6: Final answer
    x = 1,543.07

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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.