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Finding the Fourth Proportional to 2,351.66, 3,527.52 and 946.74

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Solution

The fourth proportional to 2,351.66, 3,527.52 and 946.74 is: 1,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.66 : 3,527.52 = 946.74 : x
  2. Step 2: Convert to fraction form
    2,351.66/3,527.52 = 946.74/x
  3. Step 3: Cross multiply
    2,351.66x = 3,527.52 × 946.74
  4. Step 4: Simplify right side
    2,351.66x = 3,339,644.28
  5. Step 5: Solve for x
    x = 3,339,644.28/2,351.66
  6. Step 6: Final answer
    x = 1,420.12

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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.