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Finding the Fourth Proportional to 1,707.33, 2,557.20 and 1,470.42

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Solution

The fourth proportional to 1,707.33, 2,557.20 and 1,470.42 is: 2,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.33 : 2,557.20 = 1,470.42 : x
  2. Step 2: Convert to fraction form
    1,707.33/2,557.20 = 1,470.42/x
  3. Step 3: Cross multiply
    1,707.33x = 2,557.20 × 1,470.42
  4. Step 4: Simplify right side
    1,707.33x = 3,760,158.02
  5. Step 5: Solve for x
    x = 3,760,158.02/1,707.33
  6. Step 6: Final answer
    x = 2,202.36

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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.