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Finding the Fourth Proportional to 2,355.89, 3,535.65 and 1,261.17

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Solution

The fourth proportional to 2,355.89, 3,535.65 and 1,261.17 is: 1,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.89 : 3,535.65 = 1,261.17 : x
  2. Step 2: Convert to fraction form
    2,355.89/3,535.65 = 1,261.17/x
  3. Step 3: Cross multiply
    2,355.89x = 3,535.65 × 1,261.17
  4. Step 4: Simplify right side
    2,355.89x = 4,459,055.71
  5. Step 5: Solve for x
    x = 4,459,055.71/2,355.89
  6. Step 6: Final answer
    x = 1,892.73

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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.