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Finding the Fourth Proportional to 2,101.95, 3,130.79 and 2,007.18

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Solution

The fourth proportional to 2,101.95, 3,130.79 and 2,007.18 is: 2,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.95 : 3,130.79 = 2,007.18 : x
  2. Step 2: Convert to fraction form
    2,101.95/3,130.79 = 2,007.18/x
  3. Step 3: Cross multiply
    2,101.95x = 3,130.79 × 2,007.18
  4. Step 4: Simplify right side
    2,101.95x = 6,284,049.04
  5. Step 5: Solve for x
    x = 6,284,049.04/2,101.95
  6. Step 6: Final answer
    x = 2,989.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.