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Finding the Fourth Proportional to 1,615.32, 2,228.08 and 951.71

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Solution

The fourth proportional to 1,615.32, 2,228.08 and 951.71 is: 1,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.32 : 2,228.08 = 951.71 : x
  2. Step 2: Convert to fraction form
    1,615.32/2,228.08 = 951.71/x
  3. Step 3: Cross multiply
    1,615.32x = 2,228.08 × 951.71
  4. Step 4: Simplify right side
    1,615.32x = 2,120,476.07
  5. Step 5: Solve for x
    x = 2,120,476.07/1,615.32
  6. Step 6: Final answer
    x = 1,312.73

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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.