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Finding the Fourth Proportional to 3,165.80, 4,748.49 and 974.34

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Solution

The fourth proportional to 3,165.80, 4,748.49 and 974.34 is: 1,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.80 : 4,748.49 = 974.34 : x
  2. Step 2: Convert to fraction form
    3,165.80/4,748.49 = 974.34/x
  3. Step 3: Cross multiply
    3,165.80x = 4,748.49 × 974.34
  4. Step 4: Simplify right side
    3,165.80x = 4,626,643.75
  5. Step 5: Solve for x
    x = 4,626,643.75/3,165.80
  6. Step 6: Final answer
    x = 1,461.45

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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.