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Finding the Fourth Proportional to 3,023.02, 4,534.17 and 971.02

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Solution

The fourth proportional to 3,023.02, 4,534.17 and 971.02 is: 1,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.02 : 4,534.17 = 971.02 : x
  2. Step 2: Convert to fraction form
    3,023.02/4,534.17 = 971.02/x
  3. Step 3: Cross multiply
    3,023.02x = 4,534.17 × 971.02
  4. Step 4: Simplify right side
    3,023.02x = 4,402,769.75
  5. Step 5: Solve for x
    x = 4,402,769.75/3,023.02
  6. Step 6: Final answer
    x = 1,456.41

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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.