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Finding the Fourth Proportional to 2,822.79, 4,234.32 and 874.74

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Solution

The fourth proportional to 2,822.79, 4,234.32 and 874.74 is: 1,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.79 : 4,234.32 = 874.74 : x
  2. Step 2: Convert to fraction form
    2,822.79/4,234.32 = 874.74/x
  3. Step 3: Cross multiply
    2,822.79x = 4,234.32 × 874.74
  4. Step 4: Simplify right side
    2,822.79x = 3,703,929.08
  5. Step 5: Solve for x
    x = 3,703,929.08/2,822.79
  6. Step 6: Final answer
    x = 1,312.15

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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.