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Finding the Fourth Proportional to 2,510.66, 3,464.80 and 1,515.74

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Solution

The fourth proportional to 2,510.66, 3,464.80 and 1,515.74 is: 2,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.66 : 3,464.80 = 1,515.74 : x
  2. Step 2: Convert to fraction form
    2,510.66/3,464.80 = 1,515.74/x
  3. Step 3: Cross multiply
    2,510.66x = 3,464.80 × 1,515.74
  4. Step 4: Simplify right side
    2,510.66x = 5,251,740.82
  5. Step 5: Solve for x
    x = 5,251,740.82/2,510.66
  6. Step 6: Final answer
    x = 2,091.78

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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.