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Finding the Fourth Proportional to 2,705.63, 4,058.84 and 951.10

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Solution

The fourth proportional to 2,705.63, 4,058.84 and 951.10 is: 1,426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.63 : 4,058.84 = 951.10 : x
  2. Step 2: Convert to fraction form
    2,705.63/4,058.84 = 951.10/x
  3. Step 3: Cross multiply
    2,705.63x = 4,058.84 × 951.10
  4. Step 4: Simplify right side
    2,705.63x = 3,860,354.95
  5. Step 5: Solve for x
    x = 3,860,354.95/2,705.63
  6. Step 6: Final answer
    x = 1,426.79

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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.