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Finding the Fourth Proportional to 2,909.90, 4,021.36 and 2,585.90

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Solution

The fourth proportional to 2,909.90, 4,021.36 and 2,585.90 is: 3,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.90 : 4,021.36 = 2,585.90 : x
  2. Step 2: Convert to fraction form
    2,909.90/4,021.36 = 2,585.90/x
  3. Step 3: Cross multiply
    2,909.90x = 4,021.36 × 2,585.90
  4. Step 4: Simplify right side
    2,909.90x = 10,398,808.25
  5. Step 5: Solve for x
    x = 10,398,808.25/2,909.90
  6. Step 6: Final answer
    x = 3,573.60

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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.