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Finding the Fourth Proportional to 1,681.36, 2,320.27 and 935.32

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Solution

The fourth proportional to 1,681.36, 2,320.27 and 935.32 is: 1,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.36 : 2,320.27 = 935.32 : x
  2. Step 2: Convert to fraction form
    1,681.36/2,320.27 = 935.32/x
  3. Step 3: Cross multiply
    1,681.36x = 2,320.27 × 935.32
  4. Step 4: Simplify right side
    1,681.36x = 2,170,200.30
  5. Step 5: Solve for x
    x = 2,170,200.30/1,681.36
  6. Step 6: Final answer
    x = 1,290.74

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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.