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Finding the Fourth Proportional to 1,671.64, 2,306.90 and 925.65

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Solution

The fourth proportional to 1,671.64, 2,306.90 and 925.65 is: 1,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.64 : 2,306.90 = 925.65 : x
  2. Step 2: Convert to fraction form
    1,671.64/2,306.90 = 925.65/x
  3. Step 3: Cross multiply
    1,671.64x = 2,306.90 × 925.65
  4. Step 4: Simplify right side
    1,671.64x = 2,135,384.30
  5. Step 5: Solve for x
    x = 2,135,384.30/1,671.64
  6. Step 6: Final answer
    x = 1,277.42

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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.