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Finding the Fourth Proportional to 2,064.45, 2,847.96 and 1,503.72

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Solution

The fourth proportional to 2,064.45, 2,847.96 and 1,503.72 is: 2,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.45 : 2,847.96 = 1,503.72 : x
  2. Step 2: Convert to fraction form
    2,064.45/2,847.96 = 1,503.72/x
  3. Step 3: Cross multiply
    2,064.45x = 2,847.96 × 1,503.72
  4. Step 4: Simplify right side
    2,064.45x = 4,282,534.41
  5. Step 5: Solve for x
    x = 4,282,534.41/2,064.45
  6. Step 6: Final answer
    x = 2,074.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.