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Finding the Fourth Proportional to 1,594.62, 2,397.40 and 1,474.34

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Solution

The fourth proportional to 1,594.62, 2,397.40 and 1,474.34 is: 2,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.62 : 2,397.40 = 1,474.34 : x
  2. Step 2: Convert to fraction form
    1,594.62/2,397.40 = 1,474.34/x
  3. Step 3: Cross multiply
    1,594.62x = 2,397.40 × 1,474.34
  4. Step 4: Simplify right side
    1,594.62x = 3,534,567.04
  5. Step 5: Solve for x
    x = 3,534,567.04/1,594.62
  6. Step 6: Final answer
    x = 2,216.56

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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.