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Finding the Fourth Proportional to 2,111.89, 3,167.54 and 552

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Solution

The fourth proportional to 2,111.89, 3,167.54 and 552 is: 827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.89 : 3,167.54 = 552 : x
  2. Step 2: Convert to fraction form
    2,111.89/3,167.54 = 552/x
  3. Step 3: Cross multiply
    2,111.89x = 3,167.54 × 552
  4. Step 4: Simplify right side
    2,111.89x = 1,748,482.08
  5. Step 5: Solve for x
    x = 1,748,482.08/2,111.89
  6. Step 6: Final answer
    x = 827.92

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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.