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Finding the Fourth Proportional to 2,612.61, 3,604.95 and 1,728.09

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Solution

The fourth proportional to 2,612.61, 3,604.95 and 1,728.09 is: 2,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.61 : 3,604.95 = 1,728.09 : x
  2. Step 2: Convert to fraction form
    2,612.61/3,604.95 = 1,728.09/x
  3. Step 3: Cross multiply
    2,612.61x = 3,604.95 × 1,728.09
  4. Step 4: Simplify right side
    2,612.61x = 6,229,678.05
  5. Step 5: Solve for x
    x = 6,229,678.05/2,612.61
  6. Step 6: Final answer
    x = 2,384.47

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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.