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Finding the Fourth Proportional to 2,887.75, 3,985.10 and 1,561.46

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Solution

The fourth proportional to 2,887.75, 3,985.10 and 1,561.46 is: 2,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.75 : 3,985.10 = 1,561.46 : x
  2. Step 2: Convert to fraction form
    2,887.75/3,985.10 = 1,561.46/x
  3. Step 3: Cross multiply
    2,887.75x = 3,985.10 × 1,561.46
  4. Step 4: Simplify right side
    2,887.75x = 6,222,552.37
  5. Step 5: Solve for x
    x = 6,222,552.37/2,887.75
  6. Step 6: Final answer
    x = 2,154.81

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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.