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Finding the Fourth Proportional to 2,356.87, 3,535.27 and 713.45

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Solution

The fourth proportional to 2,356.87, 3,535.27 and 713.45 is: 1,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.87 : 3,535.27 = 713.45 : x
  2. Step 2: Convert to fraction form
    2,356.87/3,535.27 = 713.45/x
  3. Step 3: Cross multiply
    2,356.87x = 3,535.27 × 713.45
  4. Step 4: Simplify right side
    2,356.87x = 2,522,238.38
  5. Step 5: Solve for x
    x = 2,522,238.38/2,356.87
  6. Step 6: Final answer
    x = 1,070.16

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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.