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Finding the Fourth Proportional to 1,714.64, 2,350.78 and 1,683.52

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Solution

The fourth proportional to 1,714.64, 2,350.78 and 1,683.52 is: 2,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.64 : 2,350.78 = 1,683.52 : x
  2. Step 2: Convert to fraction form
    1,714.64/2,350.78 = 1,683.52/x
  3. Step 3: Cross multiply
    1,714.64x = 2,350.78 × 1,683.52
  4. Step 4: Simplify right side
    1,714.64x = 3,957,585.15
  5. Step 5: Solve for x
    x = 3,957,585.15/1,714.64
  6. Step 6: Final answer
    x = 2,308.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.