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Finding the Fourth Proportional to 1,936.23, 2,904.06 and 637.71

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Solution

The fourth proportional to 1,936.23, 2,904.06 and 637.71 is: 956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.23 : 2,904.06 = 637.71 : x
  2. Step 2: Convert to fraction form
    1,936.23/2,904.06 = 637.71/x
  3. Step 3: Cross multiply
    1,936.23x = 2,904.06 × 637.71
  4. Step 4: Simplify right side
    1,936.23x = 1,851,948.10
  5. Step 5: Solve for x
    x = 1,851,948.10/1,936.23
  6. Step 6: Final answer
    x = 956.47

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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.