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Finding the Fourth Proportional to 2,785.95, 4,178.48 and 837.70

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Solution

The fourth proportional to 2,785.95, 4,178.48 and 837.70 is: 1,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.95 : 4,178.48 = 837.70 : x
  2. Step 2: Convert to fraction form
    2,785.95/4,178.48 = 837.70/x
  3. Step 3: Cross multiply
    2,785.95x = 4,178.48 × 837.70
  4. Step 4: Simplify right side
    2,785.95x = 3,500,298.06
  5. Step 5: Solve for x
    x = 3,500,298.06/2,785.95
  6. Step 6: Final answer
    x = 1,256.41

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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.