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Finding the Fourth Proportional to 1,361.24, 2,040.02 and 975.64

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Solution

The fourth proportional to 1,361.24, 2,040.02 and 975.64 is: 1,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.24 : 2,040.02 = 975.64 : x
  2. Step 2: Convert to fraction form
    1,361.24/2,040.02 = 975.64/x
  3. Step 3: Cross multiply
    1,361.24x = 2,040.02 × 975.64
  4. Step 4: Simplify right side
    1,361.24x = 1,990,325.11
  5. Step 5: Solve for x
    x = 1,990,325.11/1,361.24
  6. Step 6: Final answer
    x = 1,462.14

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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.