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Finding the Fourth Proportional to 1,685.80, 2,322.66 and 1,405

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Solution

The fourth proportional to 1,685.80, 2,322.66 and 1,405 is: 1,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.80 : 2,322.66 = 1,405 : x
  2. Step 2: Convert to fraction form
    1,685.80/2,322.66 = 1,405/x
  3. Step 3: Cross multiply
    1,685.80x = 2,322.66 × 1,405
  4. Step 4: Simplify right side
    1,685.80x = 3,263,337.30
  5. Step 5: Solve for x
    x = 3,263,337.30/1,685.80
  6. Step 6: Final answer
    x = 1,935.78

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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.