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Finding the Fourth Proportional to 2,118, 2,923.02 and 1,186.68

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Solution

The fourth proportional to 2,118, 2,923.02 and 1,186.68 is: 1,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118 : 2,923.02 = 1,186.68 : x
  2. Step 2: Convert to fraction form
    2,118/2,923.02 = 1,186.68/x
  3. Step 3: Cross multiply
    2,118x = 2,923.02 × 1,186.68
  4. Step 4: Simplify right side
    2,118x = 3,468,689.37
  5. Step 5: Solve for x
    x = 3,468,689.37/2,118
  6. Step 6: Final answer
    x = 1,637.72

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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.