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Finding the Fourth Proportional to 2,373.57, 3,274.53 and 1,429.36

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Solution

The fourth proportional to 2,373.57, 3,274.53 and 1,429.36 is: 1,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.57 : 3,274.53 = 1,429.36 : x
  2. Step 2: Convert to fraction form
    2,373.57/3,274.53 = 1,429.36/x
  3. Step 3: Cross multiply
    2,373.57x = 3,274.53 × 1,429.36
  4. Step 4: Simplify right side
    2,373.57x = 4,680,468.65
  5. Step 5: Solve for x
    x = 4,680,468.65/2,373.57
  6. Step 6: Final answer
    x = 1,971.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.