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Finding the Fourth Proportional to 3,070.82, 4,606.20 and 1,339.46

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Solution

The fourth proportional to 3,070.82, 4,606.20 and 1,339.46 is: 2,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.82 : 4,606.20 = 1,339.46 : x
  2. Step 2: Convert to fraction form
    3,070.82/4,606.20 = 1,339.46/x
  3. Step 3: Cross multiply
    3,070.82x = 4,606.20 × 1,339.46
  4. Step 4: Simplify right side
    3,070.82x = 6,169,820.65
  5. Step 5: Solve for x
    x = 6,169,820.65/3,070.82
  6. Step 6: Final answer
    x = 2,009.18

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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.