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Finding the Fourth Proportional to 3,411.59, 4,707.59 and 1,919.66

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Solution

The fourth proportional to 3,411.59, 4,707.59 and 1,919.66 is: 2,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.59 : 4,707.59 = 1,919.66 : x
  2. Step 2: Convert to fraction form
    3,411.59/4,707.59 = 1,919.66/x
  3. Step 3: Cross multiply
    3,411.59x = 4,707.59 × 1,919.66
  4. Step 4: Simplify right side
    3,411.59x = 9,036,939.08
  5. Step 5: Solve for x
    x = 9,036,939.08/3,411.59
  6. Step 6: Final answer
    x = 2,648.90

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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.