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Finding the Fourth Proportional to 2,866.87, 3,955.75 and 1,607.95

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Solution

The fourth proportional to 2,866.87, 3,955.75 and 1,607.95 is: 2,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.87 : 3,955.75 = 1,607.95 : x
  2. Step 2: Convert to fraction form
    2,866.87/3,955.75 = 1,607.95/x
  3. Step 3: Cross multiply
    2,866.87x = 3,955.75 × 1,607.95
  4. Step 4: Simplify right side
    2,866.87x = 6,360,648.21
  5. Step 5: Solve for x
    x = 6,360,648.21/2,866.87
  6. Step 6: Final answer
    x = 2,218.67

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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.