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Finding the Fourth Proportional to 2,361.75, 3,259.64 and 1,565.08

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Solution

The fourth proportional to 2,361.75, 3,259.64 and 1,565.08 is: 2,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.75 : 3,259.64 = 1,565.08 : x
  2. Step 2: Convert to fraction form
    2,361.75/3,259.64 = 1,565.08/x
  3. Step 3: Cross multiply
    2,361.75x = 3,259.64 × 1,565.08
  4. Step 4: Simplify right side
    2,361.75x = 5,101,597.37
  5. Step 5: Solve for x
    x = 5,101,597.37/2,361.75
  6. Step 6: Final answer
    x = 2,160.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.