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Finding the Fourth Proportional to 3,073.51, 4,610.16 and 993.50

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Solution

The fourth proportional to 3,073.51, 4,610.16 and 993.50 is: 1,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.51 : 4,610.16 = 993.50 : x
  2. Step 2: Convert to fraction form
    3,073.51/4,610.16 = 993.50/x
  3. Step 3: Cross multiply
    3,073.51x = 4,610.16 × 993.50
  4. Step 4: Simplify right side
    3,073.51x = 4,580,193.96
  5. Step 5: Solve for x
    x = 4,580,193.96/3,073.51
  6. Step 6: Final answer
    x = 1,490.22

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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.