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Finding the Fourth Proportional to 2,369.71, 3,554.61 and 638.29

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Solution

The fourth proportional to 2,369.71, 3,554.61 and 638.29 is: 957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.71 : 3,554.61 = 638.29 : x
  2. Step 2: Convert to fraction form
    2,369.71/3,554.61 = 638.29/x
  3. Step 3: Cross multiply
    2,369.71x = 3,554.61 × 638.29
  4. Step 4: Simplify right side
    2,369.71x = 2,268,872.02
  5. Step 5: Solve for x
    x = 2,268,872.02/2,369.71
  6. Step 6: Final answer
    x = 957.45

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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.