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Finding the Fourth Proportional to 2,318.97, 3,199.10 and 1,434.45

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Solution

The fourth proportional to 2,318.97, 3,199.10 and 1,434.45 is: 1,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.97 : 3,199.10 = 1,434.45 : x
  2. Step 2: Convert to fraction form
    2,318.97/3,199.10 = 1,434.45/x
  3. Step 3: Cross multiply
    2,318.97x = 3,199.10 × 1,434.45
  4. Step 4: Simplify right side
    2,318.97x = 4,588,941.82
  5. Step 5: Solve for x
    x = 4,588,941.82/2,318.97
  6. Step 6: Final answer
    x = 1,978.87

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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.