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Finding the Fourth Proportional to 1,860.77, 2,791.17 and 474.11

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Solution

The fourth proportional to 1,860.77, 2,791.17 and 474.11 is: 711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.77 : 2,791.17 = 474.11 : x
  2. Step 2: Convert to fraction form
    1,860.77/2,791.17 = 474.11/x
  3. Step 3: Cross multiply
    1,860.77x = 2,791.17 × 474.11
  4. Step 4: Simplify right side
    1,860.77x = 1,323,307.65
  5. Step 5: Solve for x
    x = 1,323,307.65/1,860.77
  6. Step 6: Final answer
    x = 711.16

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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.