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Finding the Fourth Proportional to 2,584.04, 3,575.14 and 2,488.04

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Solution

The fourth proportional to 2,584.04, 3,575.14 and 2,488.04 is: 3,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.04 : 3,575.14 = 2,488.04 : x
  2. Step 2: Convert to fraction form
    2,584.04/3,575.14 = 2,488.04/x
  3. Step 3: Cross multiply
    2,584.04x = 3,575.14 × 2,488.04
  4. Step 4: Simplify right side
    2,584.04x = 8,895,091.33
  5. Step 5: Solve for x
    x = 8,895,091.33/2,584.04
  6. Step 6: Final answer
    x = 3,442.32

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1.5x scale

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.