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Finding the Fourth Proportional to 2,904.17, 4,356.54 and 824.27

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Solution

The fourth proportional to 2,904.17, 4,356.54 and 824.27 is: 1,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.17 : 4,356.54 = 824.27 : x
  2. Step 2: Convert to fraction form
    2,904.17/4,356.54 = 824.27/x
  3. Step 3: Cross multiply
    2,904.17x = 4,356.54 × 824.27
  4. Step 4: Simplify right side
    2,904.17x = 3,590,943.44
  5. Step 5: Solve for x
    x = 3,590,943.44/2,904.17
  6. Step 6: Final answer
    x = 1,236.48

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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.