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Finding the Fourth Proportional to 2,898.83, 4,349.06 and 952.40

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Solution

The fourth proportional to 2,898.83, 4,349.06 and 952.40 is: 1,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.83 : 4,349.06 = 952.40 : x
  2. Step 2: Convert to fraction form
    2,898.83/4,349.06 = 952.40/x
  3. Step 3: Cross multiply
    2,898.83x = 4,349.06 × 952.40
  4. Step 4: Simplify right side
    2,898.83x = 4,142,054.43
  5. Step 5: Solve for x
    x = 4,142,054.43/2,898.83
  6. Step 6: Final answer
    x = 1,428.87

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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.