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Finding the Fourth Proportional to 2,937.50, 4,053.74 and 1,611.20

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Solution

The fourth proportional to 2,937.50, 4,053.74 and 1,611.20 is: 2,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.50 : 4,053.74 = 1,611.20 : x
  2. Step 2: Convert to fraction form
    2,937.50/4,053.74 = 1,611.20/x
  3. Step 3: Cross multiply
    2,937.50x = 4,053.74 × 1,611.20
  4. Step 4: Simplify right side
    2,937.50x = 6,531,385.89
  5. Step 5: Solve for x
    x = 6,531,385.89/2,937.50
  6. Step 6: Final answer
    x = 2,223.45

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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.