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Finding the Fourth Proportional to 2,902.32, 4,355.64 and 1,606.32

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Solution

The fourth proportional to 2,902.32, 4,355.64 and 1,606.32 is: 2,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.32 : 4,355.64 = 1,606.32 : x
  2. Step 2: Convert to fraction form
    2,902.32/4,355.64 = 1,606.32/x
  3. Step 3: Cross multiply
    2,902.32x = 4,355.64 × 1,606.32
  4. Step 4: Simplify right side
    2,902.32x = 6,996,551.64
  5. Step 5: Solve for x
    x = 6,996,551.64/2,902.32
  6. Step 6: Final answer
    x = 2,410.68

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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.