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Finding the Fourth Proportional to 2,044.76, 2,824.64 and 1,823.64

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Solution

The fourth proportional to 2,044.76, 2,824.64 and 1,823.64 is: 2,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.76 : 2,824.64 = 1,823.64 : x
  2. Step 2: Convert to fraction form
    2,044.76/2,824.64 = 1,823.64/x
  3. Step 3: Cross multiply
    2,044.76x = 2,824.64 × 1,823.64
  4. Step 4: Simplify right side
    2,044.76x = 5,151,126.49
  5. Step 5: Solve for x
    x = 5,151,126.49/2,044.76
  6. Step 6: Final answer
    x = 2,519.18

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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.