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Finding the Fourth Proportional to 1,887.85, 2,605.26 and 1,141.68

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Solution

The fourth proportional to 1,887.85, 2,605.26 and 1,141.68 is: 1,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.85 : 2,605.26 = 1,141.68 : x
  2. Step 2: Convert to fraction form
    1,887.85/2,605.26 = 1,141.68/x
  3. Step 3: Cross multiply
    1,887.85x = 2,605.26 × 1,141.68
  4. Step 4: Simplify right side
    1,887.85x = 2,974,373.24
  5. Step 5: Solve for x
    x = 2,974,373.24/1,887.85
  6. Step 6: Final answer
    x = 1,575.53

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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.