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Finding the Fourth Proportional to 2,038.05, 2,813.47 and 1,366.97

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Solution

The fourth proportional to 2,038.05, 2,813.47 and 1,366.97 is: 1,887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.05 : 2,813.47 = 1,366.97 : x
  2. Step 2: Convert to fraction form
    2,038.05/2,813.47 = 1,366.97/x
  3. Step 3: Cross multiply
    2,038.05x = 2,813.47 × 1,366.97
  4. Step 4: Simplify right side
    2,038.05x = 3,845,911.60
  5. Step 5: Solve for x
    x = 3,845,911.60/2,038.05
  6. Step 6: Final answer
    x = 1,887.05

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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.