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Finding the Fourth Proportional to 2,488.59, 3,438.18 and 2,102.22

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Solution

The fourth proportional to 2,488.59, 3,438.18 and 2,102.22 is: 2,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.59 : 3,438.18 = 2,102.22 : x
  2. Step 2: Convert to fraction form
    2,488.59/3,438.18 = 2,102.22/x
  3. Step 3: Cross multiply
    2,488.59x = 3,438.18 × 2,102.22
  4. Step 4: Simplify right side
    2,488.59x = 7,227,810.76
  5. Step 5: Solve for x
    x = 7,227,810.76/2,488.59
  6. Step 6: Final answer
    x = 2,904.38

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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.