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Finding the Fourth Proportional to 3,054.95, 4,215.84 and 1,657.70

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Solution

The fourth proportional to 3,054.95, 4,215.84 and 1,657.70 is: 2,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.95 : 4,215.84 = 1,657.70 : x
  2. Step 2: Convert to fraction form
    3,054.95/4,215.84 = 1,657.70/x
  3. Step 3: Cross multiply
    3,054.95x = 4,215.84 × 1,657.70
  4. Step 4: Simplify right side
    3,054.95x = 6,988,597.97
  5. Step 5: Solve for x
    x = 6,988,597.97/3,054.95
  6. Step 6: Final answer
    x = 2,287.63

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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.