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Finding the Fourth Proportional to 1,934.82, 2,904.15 and 1,506.66

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Solution

The fourth proportional to 1,934.82, 2,904.15 and 1,506.66 is: 2,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.82 : 2,904.15 = 1,506.66 : x
  2. Step 2: Convert to fraction form
    1,934.82/2,904.15 = 1,506.66/x
  3. Step 3: Cross multiply
    1,934.82x = 2,904.15 × 1,506.66
  4. Step 4: Simplify right side
    1,934.82x = 4,375,566.64
  5. Step 5: Solve for x
    x = 4,375,566.64/1,934.82
  6. Step 6: Final answer
    x = 2,261.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.