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Finding the Fourth Proportional to 1,867.07, 2,801.37 and 1,318.07

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Solution

The fourth proportional to 1,867.07, 2,801.37 and 1,318.07 is: 1,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.07 : 2,801.37 = 1,318.07 : x
  2. Step 2: Convert to fraction form
    1,867.07/2,801.37 = 1,318.07/x
  3. Step 3: Cross multiply
    1,867.07x = 2,801.37 × 1,318.07
  4. Step 4: Simplify right side
    1,867.07x = 3,692,401.76
  5. Step 5: Solve for x
    x = 3,692,401.76/1,867.07
  6. Step 6: Final answer
    x = 1,977.65

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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.