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Finding the Fourth Proportional to 3,022.50, 4,170 and 1,903.53

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Solution

The fourth proportional to 3,022.50, 4,170 and 1,903.53 is: 2,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.50 : 4,170 = 1,903.53 : x
  2. Step 2: Convert to fraction form
    3,022.50/4,170 = 1,903.53/x
  3. Step 3: Cross multiply
    3,022.50x = 4,170 × 1,903.53
  4. Step 4: Simplify right side
    3,022.50x = 7,937,720.10
  5. Step 5: Solve for x
    x = 7,937,720.10/3,022.50
  6. Step 6: Final answer
    x = 2,626.21

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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.