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Finding the Fourth Proportional to 1,515.16, 2,276.70 and 785.17

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Solution

The fourth proportional to 1,515.16, 2,276.70 and 785.17 is: 1,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.16 : 2,276.70 = 785.17 : x
  2. Step 2: Convert to fraction form
    1,515.16/2,276.70 = 785.17/x
  3. Step 3: Cross multiply
    1,515.16x = 2,276.70 × 785.17
  4. Step 4: Simplify right side
    1,515.16x = 1,787,596.54
  5. Step 5: Solve for x
    x = 1,787,596.54/1,515.16
  6. Step 6: Final answer
    x = 1,179.81

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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.