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Finding the Fourth Proportional to 2,937.57, 4,054.07 and 1,611.40

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Solution

The fourth proportional to 2,937.57, 4,054.07 and 1,611.40 is: 2,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.57 : 4,054.07 = 1,611.40 : x
  2. Step 2: Convert to fraction form
    2,937.57/4,054.07 = 1,611.40/x
  3. Step 3: Cross multiply
    2,937.57x = 4,054.07 × 1,611.40
  4. Step 4: Simplify right side
    2,937.57x = 6,532,720.34
  5. Step 5: Solve for x
    x = 6,532,720.34/2,937.57
  6. Step 6: Final answer
    x = 2,223.85

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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.