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Finding the Fourth Proportional to 2,372.74, 3,275.58 and 1,627

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Solution

The fourth proportional to 2,372.74, 3,275.58 and 1,627 is: 2,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.74 : 3,275.58 = 1,627 : x
  2. Step 2: Convert to fraction form
    2,372.74/3,275.58 = 1,627/x
  3. Step 3: Cross multiply
    2,372.74x = 3,275.58 × 1,627
  4. Step 4: Simplify right side
    2,372.74x = 5,329,368.66
  5. Step 5: Solve for x
    x = 5,329,368.66/2,372.74
  6. Step 6: Final answer
    x = 2,246.08

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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.