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Finding the Fourth Proportional to 1,712.91, 2,363.73 and 1,004.66

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Solution

The fourth proportional to 1,712.91, 2,363.73 and 1,004.66 is: 1,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.91 : 2,363.73 = 1,004.66 : x
  2. Step 2: Convert to fraction form
    1,712.91/2,363.73 = 1,004.66/x
  3. Step 3: Cross multiply
    1,712.91x = 2,363.73 × 1,004.66
  4. Step 4: Simplify right side
    1,712.91x = 2,374,744.98
  5. Step 5: Solve for x
    x = 2,374,744.98/1,712.91
  6. Step 6: Final answer
    x = 1,386.38

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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.