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Finding the Fourth Proportional to 2,355.42, 3,533.25 and 894.69

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Solution

The fourth proportional to 2,355.42, 3,533.25 and 894.69 is: 1,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.42 : 3,533.25 = 894.69 : x
  2. Step 2: Convert to fraction form
    2,355.42/3,533.25 = 894.69/x
  3. Step 3: Cross multiply
    2,355.42x = 3,533.25 × 894.69
  4. Step 4: Simplify right side
    2,355.42x = 3,161,166.80
  5. Step 5: Solve for x
    x = 3,161,166.80/2,355.42
  6. Step 6: Final answer
    x = 1,342.08

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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.