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Finding the Fourth Proportional to 1,750.26, 2,415.33 and 964.38

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Solution

The fourth proportional to 1,750.26, 2,415.33 and 964.38 is: 1,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.26 : 2,415.33 = 964.38 : x
  2. Step 2: Convert to fraction form
    1,750.26/2,415.33 = 964.38/x
  3. Step 3: Cross multiply
    1,750.26x = 2,415.33 × 964.38
  4. Step 4: Simplify right side
    1,750.26x = 2,329,295.95
  5. Step 5: Solve for x
    x = 2,329,295.95/1,750.26
  6. Step 6: Final answer
    x = 1,330.83

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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.