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Finding the Fourth Proportional to 1,682.95, 2,322.08 and 1,019.66

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Solution

The fourth proportional to 1,682.95, 2,322.08 and 1,019.66 is: 1,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.95 : 2,322.08 = 1,019.66 : x
  2. Step 2: Convert to fraction form
    1,682.95/2,322.08 = 1,019.66/x
  3. Step 3: Cross multiply
    1,682.95x = 2,322.08 × 1,019.66
  4. Step 4: Simplify right side
    1,682.95x = 2,367,715.38
  5. Step 5: Solve for x
    x = 2,367,715.38/1,682.95
  6. Step 6: Final answer
    x = 1,406.89

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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.