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Finding the Fourth Proportional to 1,167.89, 1,751.86 and 346.17

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Solution

The fourth proportional to 1,167.89, 1,751.86 and 346.17 is: 519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.89 : 1,751.86 = 346.17 : x
  2. Step 2: Convert to fraction form
    1,167.89/1,751.86 = 346.17/x
  3. Step 3: Cross multiply
    1,167.89x = 1,751.86 × 346.17
  4. Step 4: Simplify right side
    1,167.89x = 606,441.38
  5. Step 5: Solve for x
    x = 606,441.38/1,167.89
  6. Step 6: Final answer
    x = 519.26

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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.