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Finding the Fourth Proportional to 2,703.90, 3,731.49 and 1,585.02

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Solution

The fourth proportional to 2,703.90, 3,731.49 and 1,585.02 is: 2,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.90 : 3,731.49 = 1,585.02 : x
  2. Step 2: Convert to fraction form
    2,703.90/3,731.49 = 1,585.02/x
  3. Step 3: Cross multiply
    2,703.90x = 3,731.49 × 1,585.02
  4. Step 4: Simplify right side
    2,703.90x = 5,914,486.28
  5. Step 5: Solve for x
    x = 5,914,486.28/2,703.90
  6. Step 6: Final answer
    x = 2,187.39

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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.