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Finding the Fourth Proportional to 1,672.90, 2,308.06 and 974.14

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Solution

The fourth proportional to 1,672.90, 2,308.06 and 974.14 is: 1,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.90 : 2,308.06 = 974.14 : x
  2. Step 2: Convert to fraction form
    1,672.90/2,308.06 = 974.14/x
  3. Step 3: Cross multiply
    1,672.90x = 2,308.06 × 974.14
  4. Step 4: Simplify right side
    1,672.90x = 2,248,373.57
  5. Step 5: Solve for x
    x = 2,248,373.57/1,672.90
  6. Step 6: Final answer
    x = 1,344.00

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