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Finding the Fourth Proportional to 2,356.45, 3,533.86 and 1,186

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Solution

The fourth proportional to 2,356.45, 3,533.86 and 1,186 is: 1,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.45 : 3,533.86 = 1,186 : x
  2. Step 2: Convert to fraction form
    2,356.45/3,533.86 = 1,186/x
  3. Step 3: Cross multiply
    2,356.45x = 3,533.86 × 1,186
  4. Step 4: Simplify right side
    2,356.45x = 4,191,152.03
  5. Step 5: Solve for x
    x = 4,191,152.03/2,356.45
  6. Step 6: Final answer
    x = 1,778.59

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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.