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Finding the Fourth Proportional to 2,909.32, 4,364.52 and 962.89

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Solution

The fourth proportional to 2,909.32, 4,364.52 and 962.89 is: 1,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.32 : 4,364.52 = 962.89 : x
  2. Step 2: Convert to fraction form
    2,909.32/4,364.52 = 962.89/x
  3. Step 3: Cross multiply
    2,909.32x = 4,364.52 × 962.89
  4. Step 4: Simplify right side
    2,909.32x = 4,202,552.66
  5. Step 5: Solve for x
    x = 4,202,552.66/2,909.32
  6. Step 6: Final answer
    x = 1,444.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.