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Finding the Fourth Proportional to 2,071.37, 2,870.81 and 2,032.49

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Solution

The fourth proportional to 2,071.37, 2,870.81 and 2,032.49 is: 2,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.37 : 2,870.81 = 2,032.49 : x
  2. Step 2: Convert to fraction form
    2,071.37/2,870.81 = 2,032.49/x
  3. Step 3: Cross multiply
    2,071.37x = 2,870.81 × 2,032.49
  4. Step 4: Simplify right side
    2,071.37x = 5,834,892.62
  5. Step 5: Solve for x
    x = 5,834,892.62/2,071.37
  6. Step 6: Final answer
    x = 2,816.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.