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Finding the Fourth Proportional to 3,059.13, 4,588.38 and 979.14

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Solution

The fourth proportional to 3,059.13, 4,588.38 and 979.14 is: 1,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.13 : 4,588.38 = 979.14 : x
  2. Step 2: Convert to fraction form
    3,059.13/4,588.38 = 979.14/x
  3. Step 3: Cross multiply
    3,059.13x = 4,588.38 × 979.14
  4. Step 4: Simplify right side
    3,059.13x = 4,492,666.39
  5. Step 5: Solve for x
    x = 4,492,666.39/3,059.13
  6. Step 6: Final answer
    x = 1,468.61

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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.