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Finding the Fourth Proportional to 1,887.66, 2,603.41 and 1,289.14

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Solution

The fourth proportional to 1,887.66, 2,603.41 and 1,289.14 is: 1,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.66 : 2,603.41 = 1,289.14 : x
  2. Step 2: Convert to fraction form
    1,887.66/2,603.41 = 1,289.14/x
  3. Step 3: Cross multiply
    1,887.66x = 2,603.41 × 1,289.14
  4. Step 4: Simplify right side
    1,887.66x = 3,356,159.97
  5. Step 5: Solve for x
    x = 3,356,159.97/1,887.66
  6. Step 6: Final answer
    x = 1,777.95

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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.