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Finding the Fourth Proportional to 1,721.89, 2,376.19 and 935.93

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Solution

The fourth proportional to 1,721.89, 2,376.19 and 935.93 is: 1,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.89 : 2,376.19 = 935.93 : x
  2. Step 2: Convert to fraction form
    1,721.89/2,376.19 = 935.93/x
  3. Step 3: Cross multiply
    1,721.89x = 2,376.19 × 935.93
  4. Step 4: Simplify right side
    1,721.89x = 2,223,954.62
  5. Step 5: Solve for x
    x = 2,223,954.62/1,721.89
  6. Step 6: Final answer
    x = 1,291.58

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1.5x scale

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.