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Finding the Fourth Proportional to 2,657.94, 3,669.66 and 1,714.20

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Solution

The fourth proportional to 2,657.94, 3,669.66 and 1,714.20 is: 2,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.94 : 3,669.66 = 1,714.20 : x
  2. Step 2: Convert to fraction form
    2,657.94/3,669.66 = 1,714.20/x
  3. Step 3: Cross multiply
    2,657.94x = 3,669.66 × 1,714.20
  4. Step 4: Simplify right side
    2,657.94x = 6,290,531.17
  5. Step 5: Solve for x
    x = 6,290,531.17/2,657.94
  6. Step 6: Final answer
    x = 2,366.69

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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.