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Finding the Fourth Proportional to 2,103.72, 2,903.14 and 1,219.74

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Solution

The fourth proportional to 2,103.72, 2,903.14 and 1,219.74 is: 1,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.72 : 2,903.14 = 1,219.74 : x
  2. Step 2: Convert to fraction form
    2,103.72/2,903.14 = 1,219.74/x
  3. Step 3: Cross multiply
    2,103.72x = 2,903.14 × 1,219.74
  4. Step 4: Simplify right side
    2,103.72x = 3,541,075.98
  5. Step 5: Solve for x
    x = 3,541,075.98/2,103.72
  6. Step 6: Final answer
    x = 1,683.24

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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.