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Finding the Fourth Proportional to 2,837.84, 4,256.76 and 785.84

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Solution

The fourth proportional to 2,837.84, 4,256.76 and 785.84 is: 1,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.84 : 4,256.76 = 785.84 : x
  2. Step 2: Convert to fraction form
    2,837.84/4,256.76 = 785.84/x
  3. Step 3: Cross multiply
    2,837.84x = 4,256.76 × 785.84
  4. Step 4: Simplify right side
    2,837.84x = 3,345,132.28
  5. Step 5: Solve for x
    x = 3,345,132.28/2,837.84
  6. Step 6: Final answer
    x = 1,178.76

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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.