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Finding the Fourth Proportional to 2,608.70, 3,913.07 and 877.32

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Solution

The fourth proportional to 2,608.70, 3,913.07 and 877.32 is: 1,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.70 : 3,913.07 = 877.32 : x
  2. Step 2: Convert to fraction form
    2,608.70/3,913.07 = 877.32/x
  3. Step 3: Cross multiply
    2,608.70x = 3,913.07 × 877.32
  4. Step 4: Simplify right side
    2,608.70x = 3,433,010.19
  5. Step 5: Solve for x
    x = 3,433,010.19/2,608.70
  6. Step 6: Final answer
    x = 1,315.99

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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.