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Finding the Fourth Proportional to 1,470.50, 2,197.79 and 1,353.75

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Solution

The fourth proportional to 1,470.50, 2,197.79 and 1,353.75 is: 2,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.50 : 2,197.79 = 1,353.75 : x
  2. Step 2: Convert to fraction form
    1,470.50/2,197.79 = 1,353.75/x
  3. Step 3: Cross multiply
    1,470.50x = 2,197.79 × 1,353.75
  4. Step 4: Simplify right side
    1,470.50x = 2,975,258.21
  5. Step 5: Solve for x
    x = 2,975,258.21/1,470.50
  6. Step 6: Final answer
    x = 2,023.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.