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Finding the Fourth Proportional to 2,308.02, 3,459.96 and 846.82

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Solution

The fourth proportional to 2,308.02, 3,459.96 and 846.82 is: 1,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.02 : 3,459.96 = 846.82 : x
  2. Step 2: Convert to fraction form
    2,308.02/3,459.96 = 846.82/x
  3. Step 3: Cross multiply
    2,308.02x = 3,459.96 × 846.82
  4. Step 4: Simplify right side
    2,308.02x = 2,929,967.65
  5. Step 5: Solve for x
    x = 2,929,967.65/2,308.02
  6. Step 6: Final answer
    x = 1,269.47

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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.