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Finding the Fourth Proportional to 2,325.66, 3,205.98 and 1,538.34

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Solution

The fourth proportional to 2,325.66, 3,205.98 and 1,538.34 is: 2,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.66 : 3,205.98 = 1,538.34 : x
  2. Step 2: Convert to fraction form
    2,325.66/3,205.98 = 1,538.34/x
  3. Step 3: Cross multiply
    2,325.66x = 3,205.98 × 1,538.34
  4. Step 4: Simplify right side
    2,325.66x = 4,931,887.27
  5. Step 5: Solve for x
    x = 4,931,887.27/2,325.66
  6. Step 6: Final answer
    x = 2,120.64

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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.