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Finding the Fourth Proportional to 1,721.24, 2,375.28 and 975.19

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Solution

The fourth proportional to 1,721.24, 2,375.28 and 975.19 is: 1,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.24 : 2,375.28 = 975.19 : x
  2. Step 2: Convert to fraction form
    1,721.24/2,375.28 = 975.19/x
  3. Step 3: Cross multiply
    1,721.24x = 2,375.28 × 975.19
  4. Step 4: Simplify right side
    1,721.24x = 2,316,349.30
  5. Step 5: Solve for x
    x = 2,316,349.30/1,721.24
  6. Step 6: Final answer
    x = 1,345.74

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