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Finding the Fourth Proportional to 2,118.96, 2,924.15 and 1,187.46

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Solution

The fourth proportional to 2,118.96, 2,924.15 and 1,187.46 is: 1,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.96 : 2,924.15 = 1,187.46 : x
  2. Step 2: Convert to fraction form
    2,118.96/2,924.15 = 1,187.46/x
  3. Step 3: Cross multiply
    2,118.96x = 2,924.15 × 1,187.46
  4. Step 4: Simplify right side
    2,118.96x = 3,472,305.22
  5. Step 5: Solve for x
    x = 3,472,305.22/2,118.96
  6. Step 6: Final answer
    x = 1,638.68

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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.