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Finding the Fourth Proportional to 2,118.05, 2,920.86 and 1,488.38

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Solution

The fourth proportional to 2,118.05, 2,920.86 and 1,488.38 is: 2,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.05 : 2,920.86 = 1,488.38 : x
  2. Step 2: Convert to fraction form
    2,118.05/2,920.86 = 1,488.38/x
  3. Step 3: Cross multiply
    2,118.05x = 2,920.86 × 1,488.38
  4. Step 4: Simplify right side
    2,118.05x = 4,347,335.00
  5. Step 5: Solve for x
    x = 4,347,335.00/2,118.05
  6. Step 6: Final answer
    x = 2,052.52

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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.