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Finding the Fourth Proportional to 1,752.60, 2,418.55 and 966.65

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Solution

The fourth proportional to 1,752.60, 2,418.55 and 966.65 is: 1,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.60 : 2,418.55 = 966.65 : x
  2. Step 2: Convert to fraction form
    1,752.60/2,418.55 = 966.65/x
  3. Step 3: Cross multiply
    1,752.60x = 2,418.55 × 966.65
  4. Step 4: Simplify right side
    1,752.60x = 2,337,891.36
  5. Step 5: Solve for x
    x = 2,337,891.36/1,752.60
  6. Step 6: Final answer
    x = 1,333.96

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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.