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Finding the Fourth Proportional to 2,356.76, 3,533.05 and 1,185.23

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Solution

The fourth proportional to 2,356.76, 3,533.05 and 1,185.23 is: 1,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.76 : 3,533.05 = 1,185.23 : x
  2. Step 2: Convert to fraction form
    2,356.76/3,533.05 = 1,185.23/x
  3. Step 3: Cross multiply
    2,356.76x = 3,533.05 × 1,185.23
  4. Step 4: Simplify right side
    2,356.76x = 4,187,487.17
  5. Step 5: Solve for x
    x = 4,187,487.17/2,356.76
  6. Step 6: Final answer
    x = 1,776.80

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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.