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Finding the Fourth Proportional to 1,750.87, 2,416.22 and 964.90

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Solution

The fourth proportional to 1,750.87, 2,416.22 and 964.90 is: 1,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.87 : 2,416.22 = 964.90 : x
  2. Step 2: Convert to fraction form
    1,750.87/2,416.22 = 964.90/x
  3. Step 3: Cross multiply
    1,750.87x = 2,416.22 × 964.90
  4. Step 4: Simplify right side
    1,750.87x = 2,331,410.68
  5. Step 5: Solve for x
    x = 2,331,410.68/1,750.87
  6. Step 6: Final answer
    x = 1,331.57

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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.