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Finding the Fourth Proportional to 2,608.20, 3,598.92 and 1,560

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Solution

The fourth proportional to 2,608.20, 3,598.92 and 1,560 is: 2,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.20 : 3,598.92 = 1,560 : x
  2. Step 2: Convert to fraction form
    2,608.20/3,598.92 = 1,560/x
  3. Step 3: Cross multiply
    2,608.20x = 3,598.92 × 1,560
  4. Step 4: Simplify right side
    2,608.20x = 5,614,315.20
  5. Step 5: Solve for x
    x = 5,614,315.20/2,608.20
  6. Step 6: Final answer
    x = 2,152.56

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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.