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Finding the Fourth Proportional to 3,013.63, 4,518.83 and 932.74

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Solution

The fourth proportional to 3,013.63, 4,518.83 and 932.74 is: 1,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.63 : 4,518.83 = 932.74 : x
  2. Step 2: Convert to fraction form
    3,013.63/4,518.83 = 932.74/x
  3. Step 3: Cross multiply
    3,013.63x = 4,518.83 × 932.74
  4. Step 4: Simplify right side
    3,013.63x = 4,214,894.48
  5. Step 5: Solve for x
    x = 4,214,894.48/3,013.63
  6. Step 6: Final answer
    x = 1,398.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.