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Finding the Fourth Proportional to 2,591.60, 3,886.20 and 836.28

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Solution

The fourth proportional to 2,591.60, 3,886.20 and 836.28 is: 1,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.60 : 3,886.20 = 836.28 : x
  2. Step 2: Convert to fraction form
    2,591.60/3,886.20 = 836.28/x
  3. Step 3: Cross multiply
    2,591.60x = 3,886.20 × 836.28
  4. Step 4: Simplify right side
    2,591.60x = 3,249,951.34
  5. Step 5: Solve for x
    x = 3,249,951.34/2,591.60
  6. Step 6: Final answer
    x = 1,254.04

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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.