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Finding the Fourth Proportional to 2,161.59, 2,983.71 and 1,499.32

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Solution

The fourth proportional to 2,161.59, 2,983.71 and 1,499.32 is: 2,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.59 : 2,983.71 = 1,499.32 : x
  2. Step 2: Convert to fraction form
    2,161.59/2,983.71 = 1,499.32/x
  3. Step 3: Cross multiply
    2,161.59x = 2,983.71 × 1,499.32
  4. Step 4: Simplify right side
    2,161.59x = 4,473,536.08
  5. Step 5: Solve for x
    x = 4,473,536.08/2,161.59
  6. Step 6: Final answer
    x = 2,069.56

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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.