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Finding the Fourth Proportional to 1,721.94, 2,376.25 and 935.98

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Solution

The fourth proportional to 1,721.94, 2,376.25 and 935.98 is: 1,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.94 : 2,376.25 = 935.98 : x
  2. Step 2: Convert to fraction form
    1,721.94/2,376.25 = 935.98/x
  3. Step 3: Cross multiply
    1,721.94x = 2,376.25 × 935.98
  4. Step 4: Simplify right side
    1,721.94x = 2,224,114.19
  5. Step 5: Solve for x
    x = 2,224,114.19/1,721.94
  6. Step 6: Final answer
    x = 1,291.64

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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.