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Finding the Fourth Proportional to 2,324.82, 3,209.66 and 1,529.40

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Solution

The fourth proportional to 2,324.82, 3,209.66 and 1,529.40 is: 2,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.82 : 3,209.66 = 1,529.40 : x
  2. Step 2: Convert to fraction form
    2,324.82/3,209.66 = 1,529.40/x
  3. Step 3: Cross multiply
    2,324.82x = 3,209.66 × 1,529.40
  4. Step 4: Simplify right side
    2,324.82x = 4,908,854.00
  5. Step 5: Solve for x
    x = 4,908,854.00/2,324.82
  6. Step 6: Final answer
    x = 2,111.50

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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.