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Finding the Fourth Proportional to 2,820.66, 4,231.04 and 1,658.82

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Solution

The fourth proportional to 2,820.66, 4,231.04 and 1,658.82 is: 2,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.66 : 4,231.04 = 1,658.82 : x
  2. Step 2: Convert to fraction form
    2,820.66/4,231.04 = 1,658.82/x
  3. Step 3: Cross multiply
    2,820.66x = 4,231.04 × 1,658.82
  4. Step 4: Simplify right side
    2,820.66x = 7,018,533.77
  5. Step 5: Solve for x
    x = 7,018,533.77/2,820.66
  6. Step 6: Final answer
    x = 2,488.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.