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Finding the Fourth Proportional to 1,414.94, 1,952.01 and 1,135.89

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Solution

The fourth proportional to 1,414.94, 1,952.01 and 1,135.89 is: 1,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.94 : 1,952.01 = 1,135.89 : x
  2. Step 2: Convert to fraction form
    1,414.94/1,952.01 = 1,135.89/x
  3. Step 3: Cross multiply
    1,414.94x = 1,952.01 × 1,135.89
  4. Step 4: Simplify right side
    1,414.94x = 2,217,268.64
  5. Step 5: Solve for x
    x = 2,217,268.64/1,414.94
  6. Step 6: Final answer
    x = 1,567.05

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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.