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Finding the Fourth Proportional to 2,038.50, 2,813.13 and 1,107

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Solution

The fourth proportional to 2,038.50, 2,813.13 and 1,107 is: 1,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.50 : 2,813.13 = 1,107 : x
  2. Step 2: Convert to fraction form
    2,038.50/2,813.13 = 1,107/x
  3. Step 3: Cross multiply
    2,038.50x = 2,813.13 × 1,107
  4. Step 4: Simplify right side
    2,038.50x = 3,114,134.91
  5. Step 5: Solve for x
    x = 3,114,134.91/2,038.50
  6. Step 6: Final answer
    x = 1,527.66

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Why These Related Problems?

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