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Finding the Fourth Proportional to 2,510.78, 3,462.57 and 1,659.67

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Solution

The fourth proportional to 2,510.78, 3,462.57 and 1,659.67 is: 2,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.78 : 3,462.57 = 1,659.67 : x
  2. Step 2: Convert to fraction form
    2,510.78/3,462.57 = 1,659.67/x
  3. Step 3: Cross multiply
    2,510.78x = 3,462.57 × 1,659.67
  4. Step 4: Simplify right side
    2,510.78x = 5,746,714.90
  5. Step 5: Solve for x
    x = 5,746,714.90/2,510.78
  6. Step 6: Final answer
    x = 2,288.82

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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.