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Finding the Fourth Proportional to 2,341.65, 3,512.07 and 880.82

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Solution

The fourth proportional to 2,341.65, 3,512.07 and 880.82 is: 1,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.65 : 3,512.07 = 880.82 : x
  2. Step 2: Convert to fraction form
    2,341.65/3,512.07 = 880.82/x
  3. Step 3: Cross multiply
    2,341.65x = 3,512.07 × 880.82
  4. Step 4: Simplify right side
    2,341.65x = 3,093,483.94
  5. Step 5: Solve for x
    x = 3,093,483.94/2,341.65
  6. Step 6: Final answer
    x = 1,321.07

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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.