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Finding the Fourth Proportional to 1,609.76, 2,221.76 and 946.58

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Solution

The fourth proportional to 1,609.76, 2,221.76 and 946.58 is: 1,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.76 : 2,221.76 = 946.58 : x
  2. Step 2: Convert to fraction form
    1,609.76/2,221.76 = 946.58/x
  3. Step 3: Cross multiply
    1,609.76x = 2,221.76 × 946.58
  4. Step 4: Simplify right side
    1,609.76x = 2,103,064.84
  5. Step 5: Solve for x
    x = 2,103,064.84/1,609.76
  6. Step 6: Final answer
    x = 1,306.44

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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.