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Finding the Fourth Proportional to 2,887.06, 3,984.14 and 1,560.77

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Solution

The fourth proportional to 2,887.06, 3,984.14 and 1,560.77 is: 2,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.06 : 3,984.14 = 1,560.77 : x
  2. Step 2: Convert to fraction form
    2,887.06/3,984.14 = 1,560.77/x
  3. Step 3: Cross multiply
    2,887.06x = 3,984.14 × 1,560.77
  4. Step 4: Simplify right side
    2,887.06x = 6,218,316.33
  5. Step 5: Solve for x
    x = 6,218,316.33/2,887.06
  6. Step 6: Final answer
    x = 2,153.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.