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Finding the Fourth Proportional to 2,803.72, 3,874.08 and 2,218.90

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Solution

The fourth proportional to 2,803.72, 3,874.08 and 2,218.90 is: 3,066.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.72 : 3,874.08 = 2,218.90 : x
  2. Step 2: Convert to fraction form
    2,803.72/3,874.08 = 2,218.90/x
  3. Step 3: Cross multiply
    2,803.72x = 3,874.08 × 2,218.90
  4. Step 4: Simplify right side
    2,803.72x = 8,596,196.11
  5. Step 5: Solve for x
    x = 8,596,196.11/2,803.72
  6. Step 6: Final answer
    x = 3,066.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.