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Finding the Fourth Proportional to 2,356.97, 3,535.45 and 713.51

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Solution

The fourth proportional to 2,356.97, 3,535.45 and 713.51 is: 1,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.97 : 3,535.45 = 713.51 : x
  2. Step 2: Convert to fraction form
    2,356.97/3,535.45 = 713.51/x
  3. Step 3: Cross multiply
    2,356.97x = 3,535.45 × 713.51
  4. Step 4: Simplify right side
    2,356.97x = 2,522,572.73
  5. Step 5: Solve for x
    x = 2,522,572.73/2,356.97
  6. Step 6: Final answer
    x = 1,070.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.