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Finding the Fourth Proportional to 2,785.86, 4,178.22 and 837.66

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Solution

The fourth proportional to 2,785.86, 4,178.22 and 837.66 is: 1,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.86 : 4,178.22 = 837.66 : x
  2. Step 2: Convert to fraction form
    2,785.86/4,178.22 = 837.66/x
  3. Step 3: Cross multiply
    2,785.86x = 4,178.22 × 837.66
  4. Step 4: Simplify right side
    2,785.86x = 3,499,927.77
  5. Step 5: Solve for x
    x = 3,499,927.77/2,785.86
  6. Step 6: Final answer
    x = 1,256.32

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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.