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Finding the Fourth Proportional to 1,785.69, 2,675.79 and 1,054.49

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Solution

The fourth proportional to 1,785.69, 2,675.79 and 1,054.49 is: 1,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.69 : 2,675.79 = 1,054.49 : x
  2. Step 2: Convert to fraction form
    1,785.69/2,675.79 = 1,054.49/x
  3. Step 3: Cross multiply
    1,785.69x = 2,675.79 × 1,054.49
  4. Step 4: Simplify right side
    1,785.69x = 2,821,580.42
  5. Step 5: Solve for x
    x = 2,821,580.42/1,785.69
  6. Step 6: Final answer
    x = 1,580.11

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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.