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Finding the Fourth Proportional to 2,488.64, 3,432.16 and 1,604.16

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Solution

The fourth proportional to 2,488.64, 3,432.16 and 1,604.16 is: 2,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.64 : 3,432.16 = 1,604.16 : x
  2. Step 2: Convert to fraction form
    2,488.64/3,432.16 = 1,604.16/x
  3. Step 3: Cross multiply
    2,488.64x = 3,432.16 × 1,604.16
  4. Step 4: Simplify right side
    2,488.64x = 5,505,733.79
  5. Step 5: Solve for x
    x = 5,505,733.79/2,488.64
  6. Step 6: Final answer
    x = 2,212.35

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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.