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Finding the Fourth Proportional to 1,607.87, 2,217.67 and 1,040.85

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Solution

The fourth proportional to 1,607.87, 2,217.67 and 1,040.85 is: 1,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.87 : 2,217.67 = 1,040.85 : x
  2. Step 2: Convert to fraction form
    1,607.87/2,217.67 = 1,040.85/x
  3. Step 3: Cross multiply
    1,607.87x = 2,217.67 × 1,040.85
  4. Step 4: Simplify right side
    1,607.87x = 2,308,259.22
  5. Step 5: Solve for x
    x = 2,308,259.22/1,607.87
  6. Step 6: Final answer
    x = 1,435.60

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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.