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Finding the Fourth Proportional to 3,681.81, 5,525.15 and 1,734.17

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Solution

The fourth proportional to 3,681.81, 5,525.15 and 1,734.17 is: 2,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.81 : 5,525.15 = 1,734.17 : x
  2. Step 2: Convert to fraction form
    3,681.81/5,525.15 = 1,734.17/x
  3. Step 3: Cross multiply
    3,681.81x = 5,525.15 × 1,734.17
  4. Step 4: Simplify right side
    3,681.81x = 9,581,549.38
  5. Step 5: Solve for x
    x = 9,581,549.38/3,681.81
  6. Step 6: Final answer
    x = 2,602.40

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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.