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Finding the Fourth Proportional to 2,356.70, 3,533.90 and 712.94

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Solution

The fourth proportional to 2,356.70, 3,533.90 and 712.94 is: 1,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.70 : 3,533.90 = 712.94 : x
  2. Step 2: Convert to fraction form
    2,356.70/3,533.90 = 712.94/x
  3. Step 3: Cross multiply
    2,356.70x = 3,533.90 × 712.94
  4. Step 4: Simplify right side
    2,356.70x = 2,519,458.67
  5. Step 5: Solve for x
    x = 2,519,458.67/2,356.70
  6. Step 6: Final answer
    x = 1,069.06

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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.