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Finding the Fourth Proportional to 1,502.93, 2,069.24 and 1,165.97

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Solution

The fourth proportional to 1,502.93, 2,069.24 and 1,165.97 is: 1,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.93 : 2,069.24 = 1,165.97 : x
  2. Step 2: Convert to fraction form
    1,502.93/2,069.24 = 1,165.97/x
  3. Step 3: Cross multiply
    1,502.93x = 2,069.24 × 1,165.97
  4. Step 4: Simplify right side
    1,502.93x = 2,412,655.59
  5. Step 5: Solve for x
    x = 2,412,655.59/1,502.93
  6. Step 6: Final answer
    x = 1,605.31

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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.