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Finding the Fourth Proportional to 2,899.74, 4,349.83 and 952.14

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Solution

The fourth proportional to 2,899.74, 4,349.83 and 952.14 is: 1,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.74 : 4,349.83 = 952.14 : x
  2. Step 2: Convert to fraction form
    2,899.74/4,349.83 = 952.14/x
  3. Step 3: Cross multiply
    2,899.74x = 4,349.83 × 952.14
  4. Step 4: Simplify right side
    2,899.74x = 4,141,647.14
  5. Step 5: Solve for x
    x = 4,141,647.14/2,899.74
  6. Step 6: Final answer
    x = 1,428.28

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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.