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Finding the Fourth Proportional to 2,355.57, 3,533.46 and 712.35

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Solution

The fourth proportional to 2,355.57, 3,533.46 and 712.35 is: 1,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.57 : 3,533.46 = 712.35 : x
  2. Step 2: Convert to fraction form
    2,355.57/3,533.46 = 712.35/x
  3. Step 3: Cross multiply
    2,355.57x = 3,533.46 × 712.35
  4. Step 4: Simplify right side
    2,355.57x = 2,517,060.23
  5. Step 5: Solve for x
    x = 2,517,060.23/2,355.57
  6. Step 6: Final answer
    x = 1,068.56

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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.