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Finding the Fourth Proportional to 2,308.31, 3,460.03 and 1,151.63

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Solution

The fourth proportional to 2,308.31, 3,460.03 and 1,151.63 is: 1,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.31 : 3,460.03 = 1,151.63 : x
  2. Step 2: Convert to fraction form
    2,308.31/3,460.03 = 1,151.63/x
  3. Step 3: Cross multiply
    2,308.31x = 3,460.03 × 1,151.63
  4. Step 4: Simplify right side
    2,308.31x = 3,984,674.35
  5. Step 5: Solve for x
    x = 3,984,674.35/2,308.31
  6. Step 6: Final answer
    x = 1,726.23

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