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Finding the Fourth Proportional to 2,897.51, 4,344.44 and 949.25

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Solution

The fourth proportional to 2,897.51, 4,344.44 and 949.25 is: 1,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.51 : 4,344.44 = 949.25 : x
  2. Step 2: Convert to fraction form
    2,897.51/4,344.44 = 949.25/x
  3. Step 3: Cross multiply
    2,897.51x = 4,344.44 × 949.25
  4. Step 4: Simplify right side
    2,897.51x = 4,123,965.78
  5. Step 5: Solve for x
    x = 4,123,965.78/2,897.51
  6. Step 6: Final answer
    x = 1,423.28

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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.