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Finding the Fourth Proportional to 3,467.94, 4,785.30 and 2,051.40

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Solution

The fourth proportional to 3,467.94, 4,785.30 and 2,051.40 is: 2,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.94 : 4,785.30 = 2,051.40 : x
  2. Step 2: Convert to fraction form
    3,467.94/4,785.30 = 2,051.40/x
  3. Step 3: Cross multiply
    3,467.94x = 4,785.30 × 2,051.40
  4. Step 4: Simplify right side
    3,467.94x = 9,816,564.42
  5. Step 5: Solve for x
    x = 9,816,564.42/3,467.94
  6. Step 6: Final answer
    x = 2,830.66

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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.