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Finding the Fourth Proportional to 3,411.83, 4,708.31 and 1,919.72

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Solution

The fourth proportional to 3,411.83, 4,708.31 and 1,919.72 is: 2,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.83 : 4,708.31 = 1,919.72 : x
  2. Step 2: Convert to fraction form
    3,411.83/4,708.31 = 1,919.72/x
  3. Step 3: Cross multiply
    3,411.83x = 4,708.31 × 1,919.72
  4. Step 4: Simplify right side
    3,411.83x = 9,038,639.05
  5. Step 5: Solve for x
    x = 9,038,639.05/3,411.83
  6. Step 6: Final answer
    x = 2,649.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.