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Finding the Fourth Proportional to 1,216.61, 1,826.54 and 1,119.95

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Solution

The fourth proportional to 1,216.61, 1,826.54 and 1,119.95 is: 1,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.61 : 1,826.54 = 1,119.95 : x
  2. Step 2: Convert to fraction form
    1,216.61/1,826.54 = 1,119.95/x
  3. Step 3: Cross multiply
    1,216.61x = 1,826.54 × 1,119.95
  4. Step 4: Simplify right side
    1,216.61x = 2,045,627.87
  5. Step 5: Solve for x
    x = 2,045,627.87/1,216.61
  6. Step 6: Final answer
    x = 1,681.42

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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.