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Finding the Fourth Proportional to 2,361.24, 3,539.60 and 880.07

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Solution

The fourth proportional to 2,361.24, 3,539.60 and 880.07 is: 1,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.24 : 3,539.60 = 880.07 : x
  2. Step 2: Convert to fraction form
    2,361.24/3,539.60 = 880.07/x
  3. Step 3: Cross multiply
    2,361.24x = 3,539.60 × 880.07
  4. Step 4: Simplify right side
    2,361.24x = 3,115,095.77
  5. Step 5: Solve for x
    x = 3,115,095.77/2,361.24
  6. Step 6: Final answer
    x = 1,319.26

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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.