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Finding the Fourth Proportional to 2,437.04, 3,655.49 and 682.04

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Solution

The fourth proportional to 2,437.04, 3,655.49 and 682.04 is: 1,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.04 : 3,655.49 = 682.04 : x
  2. Step 2: Convert to fraction form
    2,437.04/3,655.49 = 682.04/x
  3. Step 3: Cross multiply
    2,437.04x = 3,655.49 × 682.04
  4. Step 4: Simplify right side
    2,437.04x = 2,493,168.71
  5. Step 5: Solve for x
    x = 2,493,168.71/2,437.04
  6. Step 6: Final answer
    x = 1,023.03

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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.