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Finding the Fourth Proportional to 1,517.96, 2,095.58 and 1,023.20

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Solution

The fourth proportional to 1,517.96, 2,095.58 and 1,023.20 is: 1,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.96 : 2,095.58 = 1,023.20 : x
  2. Step 2: Convert to fraction form
    1,517.96/2,095.58 = 1,023.20/x
  3. Step 3: Cross multiply
    1,517.96x = 2,095.58 × 1,023.20
  4. Step 4: Simplify right side
    1,517.96x = 2,144,192.34
  5. Step 5: Solve for x
    x = 2,144,192.34/1,517.96
  6. Step 6: Final answer
    x = 1,412.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.