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Finding the Fourth Proportional to 2,689.19, 3,711.08 and 1,510.64

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Solution

The fourth proportional to 2,689.19, 3,711.08 and 1,510.64 is: 2,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.19 : 3,711.08 = 1,510.64 : x
  2. Step 2: Convert to fraction form
    2,689.19/3,711.08 = 1,510.64/x
  3. Step 3: Cross multiply
    2,689.19x = 3,711.08 × 1,510.64
  4. Step 4: Simplify right side
    2,689.19x = 5,606,105.89
  5. Step 5: Solve for x
    x = 5,606,105.89/2,689.19
  6. Step 6: Final answer
    x = 2,084.68

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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.