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Finding the Fourth Proportional to 2,887.72, 4,332.12 and 1,156.48

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Solution

The fourth proportional to 2,887.72, 4,332.12 and 1,156.48 is: 1,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.72 : 4,332.12 = 1,156.48 : x
  2. Step 2: Convert to fraction form
    2,887.72/4,332.12 = 1,156.48/x
  3. Step 3: Cross multiply
    2,887.72x = 4,332.12 × 1,156.48
  4. Step 4: Simplify right side
    2,887.72x = 5,010,010.14
  5. Step 5: Solve for x
    x = 5,010,010.14/2,887.72
  6. Step 6: Final answer
    x = 1,734.94

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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.