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Finding the Fourth Proportional to 3,002.41, 4,505.73 and 1,054.77

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Solution

The fourth proportional to 3,002.41, 4,505.73 and 1,054.77 is: 1,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.41 : 4,505.73 = 1,054.77 : x
  2. Step 2: Convert to fraction form
    3,002.41/4,505.73 = 1,054.77/x
  3. Step 3: Cross multiply
    3,002.41x = 4,505.73 × 1,054.77
  4. Step 4: Simplify right side
    3,002.41x = 4,752,508.83
  5. Step 5: Solve for x
    x = 4,752,508.83/3,002.41
  6. Step 6: Final answer
    x = 1,582.90

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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.