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Finding the Fourth Proportional to 2,703.60, 4,054.20 and 1,608.24

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Solution

The fourth proportional to 2,703.60, 4,054.20 and 1,608.24 is: 2,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.60 : 4,054.20 = 1,608.24 : x
  2. Step 2: Convert to fraction form
    2,703.60/4,054.20 = 1,608.24/x
  3. Step 3: Cross multiply
    2,703.60x = 4,054.20 × 1,608.24
  4. Step 4: Simplify right side
    2,703.60x = 6,520,126.61
  5. Step 5: Solve for x
    x = 6,520,126.61/2,703.60
  6. Step 6: Final answer
    x = 2,411.65

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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.