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Finding the Fourth Proportional to 1,664.04, 2,494.56 and 883.47

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Solution

The fourth proportional to 1,664.04, 2,494.56 and 883.47 is: 1,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.04 : 2,494.56 = 883.47 : x
  2. Step 2: Convert to fraction form
    1,664.04/2,494.56 = 883.47/x
  3. Step 3: Cross multiply
    1,664.04x = 2,494.56 × 883.47
  4. Step 4: Simplify right side
    1,664.04x = 2,203,868.92
  5. Step 5: Solve for x
    x = 2,203,868.92/1,664.04
  6. Step 6: Final answer
    x = 1,324.41

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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.