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Finding the Fourth Proportional to 1,672.13, 2,308.14 and 973.50

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Solution

The fourth proportional to 1,672.13, 2,308.14 and 973.50 is: 1,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.13 : 2,308.14 = 973.50 : x
  2. Step 2: Convert to fraction form
    1,672.13/2,308.14 = 973.50/x
  3. Step 3: Cross multiply
    1,672.13x = 2,308.14 × 973.50
  4. Step 4: Simplify right side
    1,672.13x = 2,246,974.29
  5. Step 5: Solve for x
    x = 2,246,974.29/1,672.13
  6. Step 6: Final answer
    x = 1,343.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.