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Finding the Fourth Proportional to 3,023.04, 4,534.40 and 970.88

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Solution

The fourth proportional to 3,023.04, 4,534.40 and 970.88 is: 1,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.04 : 4,534.40 = 970.88 : x
  2. Step 2: Convert to fraction form
    3,023.04/4,534.40 = 970.88/x
  3. Step 3: Cross multiply
    3,023.04x = 4,534.40 × 970.88
  4. Step 4: Simplify right side
    3,023.04x = 4,402,358.27
  5. Step 5: Solve for x
    x = 4,402,358.27/3,023.04
  6. Step 6: Final answer
    x = 1,456.27

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