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Finding the Fourth Proportional to 2,064.66, 2,840.78 and 1,784

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Solution

The fourth proportional to 2,064.66, 2,840.78 and 1,784 is: 2,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.66 : 2,840.78 = 1,784 : x
  2. Step 2: Convert to fraction form
    2,064.66/2,840.78 = 1,784/x
  3. Step 3: Cross multiply
    2,064.66x = 2,840.78 × 1,784
  4. Step 4: Simplify right side
    2,064.66x = 5,067,951.52
  5. Step 5: Solve for x
    x = 5,067,951.52/2,064.66
  6. Step 6: Final answer
    x = 2,454.62

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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.