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Finding the Fourth Proportional to 3,054.42, 4,215.10 and 1,657.16

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Solution

The fourth proportional to 3,054.42, 4,215.10 and 1,657.16 is: 2,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.42 : 4,215.10 = 1,657.16 : x
  2. Step 2: Convert to fraction form
    3,054.42/4,215.10 = 1,657.16/x
  3. Step 3: Cross multiply
    3,054.42x = 4,215.10 × 1,657.16
  4. Step 4: Simplify right side
    3,054.42x = 6,985,095.12
  5. Step 5: Solve for x
    x = 6,985,095.12/3,054.42
  6. Step 6: Final answer
    x = 2,286.88

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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.