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Finding the Fourth Proportional to 1,887.48, 2,605.14 and 1,189.80

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Solution

The fourth proportional to 1,887.48, 2,605.14 and 1,189.80 is: 1,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.48 : 2,605.14 = 1,189.80 : x
  2. Step 2: Convert to fraction form
    1,887.48/2,605.14 = 1,189.80/x
  3. Step 3: Cross multiply
    1,887.48x = 2,605.14 × 1,189.80
  4. Step 4: Simplify right side
    1,887.48x = 3,099,595.57
  5. Step 5: Solve for x
    x = 3,099,595.57/1,887.48
  6. Step 6: Final answer
    x = 1,642.19

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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.