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Finding the Fourth Proportional to 2,647.35, 3,970.98 and 1,003.86

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Solution

The fourth proportional to 2,647.35, 3,970.98 and 1,003.86 is: 1,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.35 : 3,970.98 = 1,003.86 : x
  2. Step 2: Convert to fraction form
    2,647.35/3,970.98 = 1,003.86/x
  3. Step 3: Cross multiply
    2,647.35x = 3,970.98 × 1,003.86
  4. Step 4: Simplify right side
    2,647.35x = 3,986,307.98
  5. Step 5: Solve for x
    x = 3,986,307.98/2,647.35
  6. Step 6: Final answer
    x = 1,505.77

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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.