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Finding the Fourth Proportional to 1,648.91, 2,275.45 and 902.86

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Solution

The fourth proportional to 1,648.91, 2,275.45 and 902.86 is: 1,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.91 : 2,275.45 = 902.86 : x
  2. Step 2: Convert to fraction form
    1,648.91/2,275.45 = 902.86/x
  3. Step 3: Cross multiply
    1,648.91x = 2,275.45 × 902.86
  4. Step 4: Simplify right side
    1,648.91x = 2,054,404.84
  5. Step 5: Solve for x
    x = 2,054,404.84/1,648.91
  6. Step 6: Final answer
    x = 1,245.92

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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.