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Finding the Fourth Proportional to 2,308.67, 3,184.77 and 1,562.91

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Solution

The fourth proportional to 2,308.67, 3,184.77 and 1,562.91 is: 2,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.67 : 3,184.77 = 1,562.91 : x
  2. Step 2: Convert to fraction form
    2,308.67/3,184.77 = 1,562.91/x
  3. Step 3: Cross multiply
    2,308.67x = 3,184.77 × 1,562.91
  4. Step 4: Simplify right side
    2,308.67x = 4,977,508.88
  5. Step 5: Solve for x
    x = 4,977,508.88/2,308.67
  6. Step 6: Final answer
    x = 2,156.01

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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.