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Finding the Fourth Proportional to 2,156.84, 3,233.72 and 1,060.94

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Solution

The fourth proportional to 2,156.84, 3,233.72 and 1,060.94 is: 1,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.84 : 3,233.72 = 1,060.94 : x
  2. Step 2: Convert to fraction form
    2,156.84/3,233.72 = 1,060.94/x
  3. Step 3: Cross multiply
    2,156.84x = 3,233.72 × 1,060.94
  4. Step 4: Simplify right side
    2,156.84x = 3,430,782.90
  5. Step 5: Solve for x
    x = 3,430,782.90/2,156.84
  6. Step 6: Final answer
    x = 1,590.65

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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.