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Finding the Fourth Proportional to 2,138.32, 2,950.86 and 1,353.01

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Solution

The fourth proportional to 2,138.32, 2,950.86 and 1,353.01 is: 1,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.32 : 2,950.86 = 1,353.01 : x
  2. Step 2: Convert to fraction form
    2,138.32/2,950.86 = 1,353.01/x
  3. Step 3: Cross multiply
    2,138.32x = 2,950.86 × 1,353.01
  4. Step 4: Simplify right side
    2,138.32x = 3,992,543.09
  5. Step 5: Solve for x
    x = 3,992,543.09/2,138.32
  6. Step 6: Final answer
    x = 1,867.14

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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.