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Finding the Fourth Proportional to 3,059.15, 4,588.62 and 979.13

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Solution

The fourth proportional to 3,059.15, 4,588.62 and 979.13 is: 1,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.15 : 4,588.62 = 979.13 : x
  2. Step 2: Convert to fraction form
    3,059.15/4,588.62 = 979.13/x
  3. Step 3: Cross multiply
    3,059.15x = 4,588.62 × 979.13
  4. Step 4: Simplify right side
    3,059.15x = 4,492,832.56
  5. Step 5: Solve for x
    x = 4,492,832.56/3,059.15
  6. Step 6: Final answer
    x = 1,468.66

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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.