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Finding the Fourth Proportional to 3,112.96, 4,666.06 and 1,532.77

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Solution

The fourth proportional to 3,112.96, 4,666.06 and 1,532.77 is: 2,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.96 : 4,666.06 = 1,532.77 : x
  2. Step 2: Convert to fraction form
    3,112.96/4,666.06 = 1,532.77/x
  3. Step 3: Cross multiply
    3,112.96x = 4,666.06 × 1,532.77
  4. Step 4: Simplify right side
    3,112.96x = 7,152,002.02
  5. Step 5: Solve for x
    x = 7,152,002.02/3,112.96
  6. Step 6: Final answer
    x = 2,297.49

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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.