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Finding the Fourth Proportional to 1,785.92, 2,678.56 and 690.80

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Solution

The fourth proportional to 1,785.92, 2,678.56 and 690.80 is: 1,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.92 : 2,678.56 = 690.80 : x
  2. Step 2: Convert to fraction form
    1,785.92/2,678.56 = 690.80/x
  3. Step 3: Cross multiply
    1,785.92x = 2,678.56 × 690.80
  4. Step 4: Simplify right side
    1,785.92x = 1,850,349.25
  5. Step 5: Solve for x
    x = 1,850,349.25/1,785.92
  6. Step 6: Final answer
    x = 1,036.08

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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.