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Finding the Fourth Proportional to 2,355.74, 3,533.73 and 895.01

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Solution

The fourth proportional to 2,355.74, 3,533.73 and 895.01 is: 1,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.74 : 3,533.73 = 895.01 : x
  2. Step 2: Convert to fraction form
    2,355.74/3,533.73 = 895.01/x
  3. Step 3: Cross multiply
    2,355.74x = 3,533.73 × 895.01
  4. Step 4: Simplify right side
    2,355.74x = 3,162,723.69
  5. Step 5: Solve for x
    x = 3,162,723.69/2,355.74
  6. Step 6: Final answer
    x = 1,342.56

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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.