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Finding the Fourth Proportional to 2,659.14, 3,670.43 and 1,714.93

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Solution

The fourth proportional to 2,659.14, 3,670.43 and 1,714.93 is: 2,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.14 : 3,670.43 = 1,714.93 : x
  2. Step 2: Convert to fraction form
    2,659.14/3,670.43 = 1,714.93/x
  3. Step 3: Cross multiply
    2,659.14x = 3,670.43 × 1,714.93
  4. Step 4: Simplify right side
    2,659.14x = 6,294,530.52
  5. Step 5: Solve for x
    x = 6,294,530.52/2,659.14
  6. Step 6: Final answer
    x = 2,367.13

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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.