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Finding the Fourth Proportional to 1,714.12, 2,365.60 and 1,293.72

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Solution

The fourth proportional to 1,714.12, 2,365.60 and 1,293.72 is: 1,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.12 : 2,365.60 = 1,293.72 : x
  2. Step 2: Convert to fraction form
    1,714.12/2,365.60 = 1,293.72/x
  3. Step 3: Cross multiply
    1,714.12x = 2,365.60 × 1,293.72
  4. Step 4: Simplify right side
    1,714.12x = 3,060,424.03
  5. Step 5: Solve for x
    x = 3,060,424.03/1,714.12
  6. Step 6: Final answer
    x = 1,785.42

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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.