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Finding the Fourth Proportional to 2,308.12, 3,460.13 and 846.93

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Solution

The fourth proportional to 2,308.12, 3,460.13 and 846.93 is: 1,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.12 : 3,460.13 = 846.93 : x
  2. Step 2: Convert to fraction form
    2,308.12/3,460.13 = 846.93/x
  3. Step 3: Cross multiply
    2,308.12x = 3,460.13 × 846.93
  4. Step 4: Simplify right side
    2,308.12x = 2,930,487.90
  5. Step 5: Solve for x
    x = 2,930,487.90/2,308.12
  6. Step 6: Final answer
    x = 1,269.64

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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.