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Finding the Fourth Proportional to 2,715.16, 4,070.30 and 959.12

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Solution

The fourth proportional to 2,715.16, 4,070.30 and 959.12 is: 1,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.16 : 4,070.30 = 959.12 : x
  2. Step 2: Convert to fraction form
    2,715.16/4,070.30 = 959.12/x
  3. Step 3: Cross multiply
    2,715.16x = 4,070.30 × 959.12
  4. Step 4: Simplify right side
    2,715.16x = 3,903,906.14
  5. Step 5: Solve for x
    x = 3,903,906.14/2,715.16
  6. Step 6: Final answer
    x = 1,437.82

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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.