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Finding the Fourth Proportional to 2,186.77, 3,015.64 and 1,470.57

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Solution

The fourth proportional to 2,186.77, 3,015.64 and 1,470.57 is: 2,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.77 : 3,015.64 = 1,470.57 : x
  2. Step 2: Convert to fraction form
    2,186.77/3,015.64 = 1,470.57/x
  3. Step 3: Cross multiply
    2,186.77x = 3,015.64 × 1,470.57
  4. Step 4: Simplify right side
    2,186.77x = 4,434,709.71
  5. Step 5: Solve for x
    x = 4,434,709.71/2,186.77
  6. Step 6: Final answer
    x = 2,027.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.