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Finding the Fourth Proportional to 2,267.85, 3,128.72 and 1,427.07

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Solution

The fourth proportional to 2,267.85, 3,128.72 and 1,427.07 is: 1,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.85 : 3,128.72 = 1,427.07 : x
  2. Step 2: Convert to fraction form
    2,267.85/3,128.72 = 1,427.07/x
  3. Step 3: Cross multiply
    2,267.85x = 3,128.72 × 1,427.07
  4. Step 4: Simplify right side
    2,267.85x = 4,464,895.32
  5. Step 5: Solve for x
    x = 4,464,895.32/2,267.85
  6. Step 6: Final answer
    x = 1,968.78

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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.