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Finding the Fourth Proportional to 1,763.12, 2,432.03 and 1,165.62

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Solution

The fourth proportional to 1,763.12, 2,432.03 and 1,165.62 is: 1,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.12 : 2,432.03 = 1,165.62 : x
  2. Step 2: Convert to fraction form
    1,763.12/2,432.03 = 1,165.62/x
  3. Step 3: Cross multiply
    1,763.12x = 2,432.03 × 1,165.62
  4. Step 4: Simplify right side
    1,763.12x = 2,834,821.35
  5. Step 5: Solve for x
    x = 2,834,821.35/1,763.12
  6. Step 6: Final answer
    x = 1,607.84

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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.