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Finding the Fourth Proportional to 2,167.53, 3,253.12 and 2,030.84

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Solution

The fourth proportional to 2,167.53, 3,253.12 and 2,030.84 is: 3,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.53 : 3,253.12 = 2,030.84 : x
  2. Step 2: Convert to fraction form
    2,167.53/3,253.12 = 2,030.84/x
  3. Step 3: Cross multiply
    2,167.53x = 3,253.12 × 2,030.84
  4. Step 4: Simplify right side
    2,167.53x = 6,606,569.28
  5. Step 5: Solve for x
    x = 6,606,569.28/2,167.53
  6. Step 6: Final answer
    x = 3,047.97

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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.