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Finding the Fourth Proportional to 2,343.12, 3,514.74 and 783.82

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Solution

The fourth proportional to 2,343.12, 3,514.74 and 783.82 is: 1,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.12 : 3,514.74 = 783.82 : x
  2. Step 2: Convert to fraction form
    2,343.12/3,514.74 = 783.82/x
  3. Step 3: Cross multiply
    2,343.12x = 3,514.74 × 783.82
  4. Step 4: Simplify right side
    2,343.12x = 2,754,923.51
  5. Step 5: Solve for x
    x = 2,754,923.51/2,343.12
  6. Step 6: Final answer
    x = 1,175.75

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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.