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Finding the Fourth Proportional to 2,341.80, 3,513.41 and 698.40

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Solution

The fourth proportional to 2,341.80, 3,513.41 and 698.40 is: 1,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.80 : 3,513.41 = 698.40 : x
  2. Step 2: Convert to fraction form
    2,341.80/3,513.41 = 698.40/x
  3. Step 3: Cross multiply
    2,341.80x = 3,513.41 × 698.40
  4. Step 4: Simplify right side
    2,341.80x = 2,453,762.05
  5. Step 5: Solve for x
    x = 2,453,762.05/2,341.80
  6. Step 6: Final answer
    x = 1,047.81

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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.