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Finding the Fourth Proportional to 2,165.42, 2,988.24 and 1,325.99

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Solution

The fourth proportional to 2,165.42, 2,988.24 and 1,325.99 is: 1,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.42 : 2,988.24 = 1,325.99 : x
  2. Step 2: Convert to fraction form
    2,165.42/2,988.24 = 1,325.99/x
  3. Step 3: Cross multiply
    2,165.42x = 2,988.24 × 1,325.99
  4. Step 4: Simplify right side
    2,165.42x = 3,962,376.36
  5. Step 5: Solve for x
    x = 3,962,376.36/2,165.42
  6. Step 6: Final answer
    x = 1,829.84

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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.