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Finding the Fourth Proportional to 2,341.55, 3,512.29 and 698.11

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Solution

The fourth proportional to 2,341.55, 3,512.29 and 698.11 is: 1,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.55 : 3,512.29 = 698.11 : x
  2. Step 2: Convert to fraction form
    2,341.55/3,512.29 = 698.11/x
  3. Step 3: Cross multiply
    2,341.55x = 3,512.29 × 698.11
  4. Step 4: Simplify right side
    2,341.55x = 2,451,943.72
  5. Step 5: Solve for x
    x = 2,451,943.72/2,341.55
  6. Step 6: Final answer
    x = 1,047.15

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1.5x scale

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.