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Finding the Fourth Proportional to 2,407.06, 3,604.82 and 1,308.70

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Solution

The fourth proportional to 2,407.06, 3,604.82 and 1,308.70 is: 1,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.06 : 3,604.82 = 1,308.70 : x
  2. Step 2: Convert to fraction form
    2,407.06/3,604.82 = 1,308.70/x
  3. Step 3: Cross multiply
    2,407.06x = 3,604.82 × 1,308.70
  4. Step 4: Simplify right side
    2,407.06x = 4,717,612.38
  5. Step 5: Solve for x
    x = 4,717,612.38/2,407.06
  6. Step 6: Final answer
    x = 1,959.91

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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.