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Finding the Fourth Proportional to 3,073.34, 4,610 and 993.65

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Solution

The fourth proportional to 3,073.34, 4,610 and 993.65 is: 1,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.34 : 4,610 = 993.65 : x
  2. Step 2: Convert to fraction form
    3,073.34/4,610 = 993.65/x
  3. Step 3: Cross multiply
    3,073.34x = 4,610 × 993.65
  4. Step 4: Simplify right side
    3,073.34x = 4,580,714.98
  5. Step 5: Solve for x
    x = 4,580,714.98/3,073.34
  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.