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Finding the Fourth Proportional to 2,355.87, 3,533.77 and 712.45

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Solution

The fourth proportional to 2,355.87, 3,533.77 and 712.45 is: 1,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.87 : 3,533.77 = 712.45 : x
  2. Step 2: Convert to fraction form
    2,355.87/3,533.77 = 712.45/x
  3. Step 3: Cross multiply
    2,355.87x = 3,533.77 × 712.45
  4. Step 4: Simplify right side
    2,355.87x = 2,517,634.44
  5. Step 5: Solve for x
    x = 2,517,634.44/2,355.87
  6. Step 6: Final answer
    x = 1,068.66

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