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Finding the Fourth Proportional to 1,967.88, 2,935.18 and 1,853.66

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Solution

The fourth proportional to 1,967.88, 2,935.18 and 1,853.66 is: 2,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.88 : 2,935.18 = 1,853.66 : x
  2. Step 2: Convert to fraction form
    1,967.88/2,935.18 = 1,853.66/x
  3. Step 3: Cross multiply
    1,967.88x = 2,935.18 × 1,853.66
  4. Step 4: Simplify right side
    1,967.88x = 5,440,825.76
  5. Step 5: Solve for x
    x = 5,440,825.76/1,967.88
  6. Step 6: Final answer
    x = 2,764.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.