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Finding the Fourth Proportional to 2,325.84, 3,209.94 and 1,442.16

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Solution

The fourth proportional to 2,325.84, 3,209.94 and 1,442.16 is: 1,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.84 : 3,209.94 = 1,442.16 : x
  2. Step 2: Convert to fraction form
    2,325.84/3,209.94 = 1,442.16/x
  3. Step 3: Cross multiply
    2,325.84x = 3,209.94 × 1,442.16
  4. Step 4: Simplify right side
    2,325.84x = 4,629,247.07
  5. Step 5: Solve for x
    x = 4,629,247.07/2,325.84
  6. Step 6: Final answer
    x = 1,990.35

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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.