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Finding the Fourth Proportional to 3,071.13, 4,606.62 and 1,339.76

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Solution

The fourth proportional to 3,071.13, 4,606.62 and 1,339.76 is: 2,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.13 : 4,606.62 = 1,339.76 : x
  2. Step 2: Convert to fraction form
    3,071.13/4,606.62 = 1,339.76/x
  3. Step 3: Cross multiply
    3,071.13x = 4,606.62 × 1,339.76
  4. Step 4: Simplify right side
    3,071.13x = 6,171,742.18
  5. Step 5: Solve for x
    x = 6,171,742.18/3,071.13
  6. Step 6: Final answer
    x = 2,009.60

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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.