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Finding the Fourth Proportional to 1,721.23, 2,375.32 and 975.17

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Solution

The fourth proportional to 1,721.23, 2,375.32 and 975.17 is: 1,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.23 : 2,375.32 = 975.17 : x
  2. Step 2: Convert to fraction form
    1,721.23/2,375.32 = 975.17/x
  3. Step 3: Cross multiply
    1,721.23x = 2,375.32 × 975.17
  4. Step 4: Simplify right side
    1,721.23x = 2,316,340.80
  5. Step 5: Solve for x
    x = 2,316,340.80/1,721.23
  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.