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Finding the Fourth Proportional to 1,887.50, 2,603.07 and 1,223.69

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Solution

The fourth proportional to 1,887.50, 2,603.07 and 1,223.69 is: 1,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.50 : 2,603.07 = 1,223.69 : x
  2. Step 2: Convert to fraction form
    1,887.50/2,603.07 = 1,223.69/x
  3. Step 3: Cross multiply
    1,887.50x = 2,603.07 × 1,223.69
  4. Step 4: Simplify right side
    1,887.50x = 3,185,350.73
  5. Step 5: Solve for x
    x = 3,185,350.73/1,887.50
  6. Step 6: Final answer
    x = 1,687.60

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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.