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Finding the Fourth Proportional to 2,156.67, 3,235.29 and 1,061.07

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Solution

The fourth proportional to 2,156.67, 3,235.29 and 1,061.07 is: 1,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.67 : 3,235.29 = 1,061.07 : x
  2. Step 2: Convert to fraction form
    2,156.67/3,235.29 = 1,061.07/x
  3. Step 3: Cross multiply
    2,156.67x = 3,235.29 × 1,061.07
  4. Step 4: Simplify right side
    2,156.67x = 3,432,869.16
  5. Step 5: Solve for x
    x = 3,432,869.16/2,156.67
  6. Step 6: Final answer
    x = 1,591.75

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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.