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Finding the Fourth Proportional to 2,361.84, 3,540.60 and 899.52

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Solution

The fourth proportional to 2,361.84, 3,540.60 and 899.52 is: 1,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.84 : 3,540.60 = 899.52 : x
  2. Step 2: Convert to fraction form
    2,361.84/3,540.60 = 899.52/x
  3. Step 3: Cross multiply
    2,361.84x = 3,540.60 × 899.52
  4. Step 4: Simplify right side
    2,361.84x = 3,184,840.51
  5. Step 5: Solve for x
    x = 3,184,840.51/2,361.84
  6. Step 6: Final answer
    x = 1,348.46

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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.