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Finding the Fourth Proportional to 2,373.32, 3,275.16 and 1,378.64

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Solution

The fourth proportional to 2,373.32, 3,275.16 and 1,378.64 is: 1,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.32 : 3,275.16 = 1,378.64 : x
  2. Step 2: Convert to fraction form
    2,373.32/3,275.16 = 1,378.64/x
  3. Step 3: Cross multiply
    2,373.32x = 3,275.16 × 1,378.64
  4. Step 4: Simplify right side
    2,373.32x = 4,515,266.58
  5. Step 5: Solve for x
    x = 4,515,266.58/2,373.32
  6. Step 6: Final answer
    x = 1,902.51

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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.