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Finding the Fourth Proportional to 3,431.71, 4,735.74 and 1,859.77

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Solution

The fourth proportional to 3,431.71, 4,735.74 and 1,859.77 is: 2,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.71 : 4,735.74 = 1,859.77 : x
  2. Step 2: Convert to fraction form
    3,431.71/4,735.74 = 1,859.77/x
  3. Step 3: Cross multiply
    3,431.71x = 4,735.74 × 1,859.77
  4. Step 4: Simplify right side
    3,431.71x = 8,807,387.18
  5. Step 5: Solve for x
    x = 8,807,387.18/3,431.71
  6. Step 6: Final answer
    x = 2,566.47

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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.