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Finding the Fourth Proportional to 1,750.52, 2,415.71 and 964.57

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Solution

The fourth proportional to 1,750.52, 2,415.71 and 964.57 is: 1,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.52 : 2,415.71 = 964.57 : x
  2. Step 2: Convert to fraction form
    1,750.52/2,415.71 = 964.57/x
  3. Step 3: Cross multiply
    1,750.52x = 2,415.71 × 964.57
  4. Step 4: Simplify right side
    1,750.52x = 2,330,121.39
  5. Step 5: Solve for x
    x = 2,330,121.39/1,750.52
  6. Step 6: Final answer
    x = 1,331.10

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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.