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Finding the Fourth Proportional to 2,267.91, 3,129.48 and 1,383.93

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Solution

The fourth proportional to 2,267.91, 3,129.48 and 1,383.93 is: 1,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.91 : 3,129.48 = 1,383.93 : x
  2. Step 2: Convert to fraction form
    2,267.91/3,129.48 = 1,383.93/x
  3. Step 3: Cross multiply
    2,267.91x = 3,129.48 × 1,383.93
  4. Step 4: Simplify right side
    2,267.91x = 4,330,981.26
  5. Step 5: Solve for x
    x = 4,330,981.26/2,267.91
  6. Step 6: Final answer
    x = 1,909.68

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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.