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Finding the Fourth Proportional to 3,302.18, 4,953.99 and 993.50

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Solution

The fourth proportional to 3,302.18, 4,953.99 and 993.50 is: 1,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.18 : 4,953.99 = 993.50 : x
  2. Step 2: Convert to fraction form
    3,302.18/4,953.99 = 993.50/x
  3. Step 3: Cross multiply
    3,302.18x = 4,953.99 × 993.50
  4. Step 4: Simplify right side
    3,302.18x = 4,921,789.07
  5. Step 5: Solve for x
    x = 4,921,789.07/3,302.18
  6. Step 6: Final answer
    x = 1,490.47

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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.