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Finding the Fourth Proportional to 2,714.02, 4,071.30 and 739.68

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Solution

The fourth proportional to 2,714.02, 4,071.30 and 739.68 is: 1,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.02 : 4,071.30 = 739.68 : x
  2. Step 2: Convert to fraction form
    2,714.02/4,071.30 = 739.68/x
  3. Step 3: Cross multiply
    2,714.02x = 4,071.30 × 739.68
  4. Step 4: Simplify right side
    2,714.02x = 3,011,459.18
  5. Step 5: Solve for x
    x = 3,011,459.18/2,714.02
  6. Step 6: Final answer
    x = 1,109.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.