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Finding the Fourth Proportional to 3,301.76, 4,953.44 and 993.26

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Solution

The fourth proportional to 3,301.76, 4,953.44 and 993.26 is: 1,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.76 : 4,953.44 = 993.26 : x
  2. Step 2: Convert to fraction form
    3,301.76/4,953.44 = 993.26/x
  3. Step 3: Cross multiply
    3,301.76x = 4,953.44 × 993.26
  4. Step 4: Simplify right side
    3,301.76x = 4,920,053.81
  5. Step 5: Solve for x
    x = 4,920,053.81/3,301.76
  6. Step 6: Final answer
    x = 1,490.13

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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.