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Finding the Fourth Proportional to 2,343.81, 3,515.47 and 612.43

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Solution

The fourth proportional to 2,343.81, 3,515.47 and 612.43 is: 918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.81 : 3,515.47 = 612.43 : x
  2. Step 2: Convert to fraction form
    2,343.81/3,515.47 = 612.43/x
  3. Step 3: Cross multiply
    2,343.81x = 3,515.47 × 612.43
  4. Step 4: Simplify right side
    2,343.81x = 2,152,979.29
  5. Step 5: Solve for x
    x = 2,152,979.29/2,343.81
  6. Step 6: Final answer
    x = 918.58

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Why These Related Problems?

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