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Finding the Fourth Proportional to 1,748.80, 2,621.04 and 882.64

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Solution

The fourth proportional to 1,748.80, 2,621.04 and 882.64 is: 1,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.80 : 2,621.04 = 882.64 : x
  2. Step 2: Convert to fraction form
    1,748.80/2,621.04 = 882.64/x
  3. Step 3: Cross multiply
    1,748.80x = 2,621.04 × 882.64
  4. Step 4: Simplify right side
    1,748.80x = 2,313,434.75
  5. Step 5: Solve for x
    x = 2,313,434.75/1,748.80
  6. Step 6: Final answer
    x = 1,322.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.