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Finding the Fourth Proportional to 2,784.95, 4,178.13 and 837.10

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Solution

The fourth proportional to 2,784.95, 4,178.13 and 837.10 is: 1,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.95 : 4,178.13 = 837.10 : x
  2. Step 2: Convert to fraction form
    2,784.95/4,178.13 = 837.10/x
  3. Step 3: Cross multiply
    2,784.95x = 4,178.13 × 837.10
  4. Step 4: Simplify right side
    2,784.95x = 3,497,519.42
  5. Step 5: Solve for x
    x = 3,497,519.42/2,784.95
  6. Step 6: Final answer
    x = 1,255.86

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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.