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Finding the Fourth Proportional to 2,267.65, 3,130.23 and 1,383.49

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Solution

The fourth proportional to 2,267.65, 3,130.23 and 1,383.49 is: 1,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.65 : 3,130.23 = 1,383.49 : x
  2. Step 2: Convert to fraction form
    2,267.65/3,130.23 = 1,383.49/x
  3. Step 3: Cross multiply
    2,267.65x = 3,130.23 × 1,383.49
  4. Step 4: Simplify right side
    2,267.65x = 4,330,641.90
  5. Step 5: Solve for x
    x = 4,330,641.90/2,267.65
  6. Step 6: Final answer
    x = 1,909.75

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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.