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Finding the Fourth Proportional to 2,355.83, 3,533.15 and 969.55

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Solution

The fourth proportional to 2,355.83, 3,533.15 and 969.55 is: 1,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.83 : 3,533.15 = 969.55 : x
  2. Step 2: Convert to fraction form
    2,355.83/3,533.15 = 969.55/x
  3. Step 3: Cross multiply
    2,355.83x = 3,533.15 × 969.55
  4. Step 4: Simplify right side
    2,355.83x = 3,425,551.90
  5. Step 5: Solve for x
    x = 3,425,551.90/2,355.83
  6. Step 6: Final answer
    x = 1,454.08

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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.