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Finding the Fourth Proportional to 2,341.50, 3,512.83 and 698.04

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Solution

The fourth proportional to 2,341.50, 3,512.83 and 698.04 is: 1,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.50 : 3,512.83 = 698.04 : x
  2. Step 2: Convert to fraction form
    2,341.50/3,512.83 = 698.04/x
  3. Step 3: Cross multiply
    2,341.50x = 3,512.83 × 698.04
  4. Step 4: Simplify right side
    2,341.50x = 2,452,094.11
  5. Step 5: Solve for x
    x = 2,452,094.11/2,341.50
  6. Step 6: Final answer
    x = 1,047.23

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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.