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Finding the Fourth Proportional to 3,320.23, 4,978.05 and 1,470.34

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Solution

The fourth proportional to 3,320.23, 4,978.05 and 1,470.34 is: 2,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.23 : 4,978.05 = 1,470.34 : x
  2. Step 2: Convert to fraction form
    3,320.23/4,978.05 = 1,470.34/x
  3. Step 3: Cross multiply
    3,320.23x = 4,978.05 × 1,470.34
  4. Step 4: Simplify right side
    3,320.23x = 7,319,426.04
  5. Step 5: Solve for x
    x = 7,319,426.04/3,320.23
  6. Step 6: Final answer
    x = 2,204.49

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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.