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Finding the Fourth Proportional to 2,361.47, 3,541.59 and 901.04

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Solution

The fourth proportional to 2,361.47, 3,541.59 and 901.04 is: 1,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.47 : 3,541.59 = 901.04 : x
  2. Step 2: Convert to fraction form
    2,361.47/3,541.59 = 901.04/x
  3. Step 3: Cross multiply
    2,361.47x = 3,541.59 × 901.04
  4. Step 4: Simplify right side
    2,361.47x = 3,191,096.55
  5. Step 5: Solve for x
    x = 3,191,096.55/2,361.47
  6. Step 6: Final answer
    x = 1,351.32

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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.