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Finding the Fourth Proportional to 2,510.49, 3,763.16 and 1,689.00

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Solution

The fourth proportional to 2,510.49, 3,763.16 and 1,689.00 is: 2,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.49 : 3,763.16 = 1,689.00 : x
  2. Step 2: Convert to fraction form
    2,510.49/3,763.16 = 1,689.00/x
  3. Step 3: Cross multiply
    2,510.49x = 3,763.16 × 1,689.00
  4. Step 4: Simplify right side
    2,510.49x = 6,355,982.18
  5. Step 5: Solve for x
    x = 6,355,982.18/2,510.49
  6. Step 6: Final answer
    x = 2,531.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.