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Finding the Fourth Proportional to 2,355.39, 3,533.01 and 968.34

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Solution

The fourth proportional to 2,355.39, 3,533.01 and 968.34 is: 1,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.39 : 3,533.01 = 968.34 : x
  2. Step 2: Convert to fraction form
    2,355.39/3,533.01 = 968.34/x
  3. Step 3: Cross multiply
    2,355.39x = 3,533.01 × 968.34
  4. Step 4: Simplify right side
    2,355.39x = 3,421,154.90
  5. Step 5: Solve for x
    x = 3,421,154.90/2,355.39
  6. Step 6: Final answer
    x = 1,452.48

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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.