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Finding the Fourth Proportional to 2,344.84, 3,514.06 and 883.19

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Solution

The fourth proportional to 2,344.84, 3,514.06 and 883.19 is: 1,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.84 : 3,514.06 = 883.19 : x
  2. Step 2: Convert to fraction form
    2,344.84/3,514.06 = 883.19/x
  3. Step 3: Cross multiply
    2,344.84x = 3,514.06 × 883.19
  4. Step 4: Simplify right side
    2,344.84x = 3,103,582.65
  5. Step 5: Solve for x
    x = 3,103,582.65/2,344.84
  6. Step 6: Final answer
    x = 1,323.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.