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Finding the Fourth Proportional to 1,681.50, 2,520.66 and 1,543.11

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Solution

The fourth proportional to 1,681.50, 2,520.66 and 1,543.11 is: 2,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.50 : 2,520.66 = 1,543.11 : x
  2. Step 2: Convert to fraction form
    1,681.50/2,520.66 = 1,543.11/x
  3. Step 3: Cross multiply
    1,681.50x = 2,520.66 × 1,543.11
  4. Step 4: Simplify right side
    1,681.50x = 3,889,655.65
  5. Step 5: Solve for x
    x = 3,889,655.65/1,681.50
  6. Step 6: Final answer
    x = 2,313.21

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Why These Related Problems?

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