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Finding the Fourth Proportional to 3,466, 4,783.08 and 2,068.48

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Solution

The fourth proportional to 3,466, 4,783.08 and 2,068.48 is: 2,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466 : 4,783.08 = 2,068.48 : x
  2. Step 2: Convert to fraction form
    3,466/4,783.08 = 2,068.48/x
  3. Step 3: Cross multiply
    3,466x = 4,783.08 × 2,068.48
  4. Step 4: Simplify right side
    3,466x = 9,893,705.32
  5. Step 5: Solve for x
    x = 9,893,705.32/3,466
  6. Step 6: Final answer
    x = 2,854.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.