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Finding the Fourth Proportional to 1,473.15, 2,032.97 and 810

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Solution

The fourth proportional to 1,473.15, 2,032.97 and 810 is: 1,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.15 : 2,032.97 = 810 : x
  2. Step 2: Convert to fraction form
    1,473.15/2,032.97 = 810/x
  3. Step 3: Cross multiply
    1,473.15x = 2,032.97 × 810
  4. Step 4: Simplify right side
    1,473.15x = 1,646,707.73
  5. Step 5: Solve for x
    x = 1,646,707.73/1,473.15
  6. Step 6: Final answer
    x = 1,117.81

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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.