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Finding the Fourth Proportional to 2,162.64, 2,983.14 and 1,637.76

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Solution

The fourth proportional to 2,162.64, 2,983.14 and 1,637.76 is: 2,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.64 : 2,983.14 = 1,637.76 : x
  2. Step 2: Convert to fraction form
    2,162.64/2,983.14 = 1,637.76/x
  3. Step 3: Cross multiply
    2,162.64x = 2,983.14 × 1,637.76
  4. Step 4: Simplify right side
    2,162.64x = 4,885,667.37
  5. Step 5: Solve for x
    x = 4,885,667.37/2,162.64
  6. Step 6: Final answer
    x = 2,259.12

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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.