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Finding the Fourth Proportional to 2,464.41, 3,695.71 and 1,002.77

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Solution

The fourth proportional to 2,464.41, 3,695.71 and 1,002.77 is: 1,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.41 : 3,695.71 = 1,002.77 : x
  2. Step 2: Convert to fraction form
    2,464.41/3,695.71 = 1,002.77/x
  3. Step 3: Cross multiply
    2,464.41x = 3,695.71 × 1,002.77
  4. Step 4: Simplify right side
    2,464.41x = 3,705,947.12
  5. Step 5: Solve for x
    x = 3,705,947.12/2,464.41
  6. Step 6: Final answer
    x = 1,503.79

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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.