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Finding the Fourth Proportional to 1,721.22, 2,375.36 and 975.15

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Solution

The fourth proportional to 1,721.22, 2,375.36 and 975.15 is: 1,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.22 : 2,375.36 = 975.15 : x
  2. Step 2: Convert to fraction form
    1,721.22/2,375.36 = 975.15/x
  3. Step 3: Cross multiply
    1,721.22x = 2,375.36 × 975.15
  4. Step 4: Simplify right side
    1,721.22x = 2,316,327.43
  5. Step 5: Solve for x
    x = 2,316,327.43/1,721.22
  6. Step 6: Final answer
    x = 1,345.75

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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.