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Finding the Fourth Proportional to 1,393.45, 1,922.03 and 1,165.69

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Solution

The fourth proportional to 1,393.45, 1,922.03 and 1,165.69 is: 1,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.45 : 1,922.03 = 1,165.69 : x
  2. Step 2: Convert to fraction form
    1,393.45/1,922.03 = 1,165.69/x
  3. Step 3: Cross multiply
    1,393.45x = 1,922.03 × 1,165.69
  4. Step 4: Simplify right side
    1,393.45x = 2,240,492.10
  5. Step 5: Solve for x
    x = 2,240,492.10/1,393.45
  6. Step 6: Final answer
    x = 1,607.87

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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.