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Finding the Fourth Proportional to 2,361.47, 3,259.10 and 1,353.53

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Solution

The fourth proportional to 2,361.47, 3,259.10 and 1,353.53 is: 1,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.47 : 3,259.10 = 1,353.53 : x
  2. Step 2: Convert to fraction form
    2,361.47/3,259.10 = 1,353.53/x
  3. Step 3: Cross multiply
    2,361.47x = 3,259.10 × 1,353.53
  4. Step 4: Simplify right side
    2,361.47x = 4,411,301.15
  5. Step 5: Solve for x
    x = 4,411,301.15/2,361.47
  6. Step 6: Final answer
    x = 1,868.04

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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.