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Finding the Fourth Proportional to 2,803.50, 4,202.40 and 1,160.94

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Solution

The fourth proportional to 2,803.50, 4,202.40 and 1,160.94 is: 1,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.50 : 4,202.40 = 1,160.94 : x
  2. Step 2: Convert to fraction form
    2,803.50/4,202.40 = 1,160.94/x
  3. Step 3: Cross multiply
    2,803.50x = 4,202.40 × 1,160.94
  4. Step 4: Simplify right side
    2,803.50x = 4,878,734.26
  5. Step 5: Solve for x
    x = 4,878,734.26/2,803.50
  6. Step 6: Final answer
    x = 1,740.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.