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Finding the Fourth Proportional to 1,749.47, 2,414.30 and 963.51

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Solution

The fourth proportional to 1,749.47, 2,414.30 and 963.51 is: 1,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.47 : 2,414.30 = 963.51 : x
  2. Step 2: Convert to fraction form
    1,749.47/2,414.30 = 963.51/x
  3. Step 3: Cross multiply
    1,749.47x = 2,414.30 × 963.51
  4. Step 4: Simplify right side
    1,749.47x = 2,326,197.38
  5. Step 5: Solve for x
    x = 2,326,197.38/1,749.47
  6. Step 6: Final answer
    x = 1,329.66

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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.