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Finding the Fourth Proportional to 2,290.66, 3,158.05 and 1,820.11

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Solution

The fourth proportional to 2,290.66, 3,158.05 and 1,820.11 is: 2,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.66 : 3,158.05 = 1,820.11 : x
  2. Step 2: Convert to fraction form
    2,290.66/3,158.05 = 1,820.11/x
  3. Step 3: Cross multiply
    2,290.66x = 3,158.05 × 1,820.11
  4. Step 4: Simplify right side
    2,290.66x = 5,747,998.39
  5. Step 5: Solve for x
    x = 5,747,998.39/2,290.66
  6. Step 6: Final answer
    x = 2,509.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.