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Finding the Fourth Proportional to 3,334.50, 4,601.61 and 1,862.50

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Solution

The fourth proportional to 3,334.50, 4,601.61 and 1,862.50 is: 2,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.50 : 4,601.61 = 1,862.50 : x
  2. Step 2: Convert to fraction form
    3,334.50/4,601.61 = 1,862.50/x
  3. Step 3: Cross multiply
    3,334.50x = 4,601.61 × 1,862.50
  4. Step 4: Simplify right side
    3,334.50x = 8,570,498.63
  5. Step 5: Solve for x
    x = 8,570,498.63/3,334.50
  6. Step 6: Final answer
    x = 2,570.25

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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.