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Finding the Fourth Proportional to 1,857.39, 2,783.64 and 1,036.05

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Solution

The fourth proportional to 1,857.39, 2,783.64 and 1,036.05 is: 1,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.39 : 2,783.64 = 1,036.05 : x
  2. Step 2: Convert to fraction form
    1,857.39/2,783.64 = 1,036.05/x
  3. Step 3: Cross multiply
    1,857.39x = 2,783.64 × 1,036.05
  4. Step 4: Simplify right side
    1,857.39x = 2,883,990.22
  5. Step 5: Solve for x
    x = 2,883,990.22/1,857.39
  6. Step 6: Final answer
    x = 1,552.71

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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.