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Finding the Fourth Proportional to 2,877.82, 3,972.12 and 1,699.26

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Solution

The fourth proportional to 2,877.82, 3,972.12 and 1,699.26 is: 2,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.82 : 3,972.12 = 1,699.26 : x
  2. Step 2: Convert to fraction form
    2,877.82/3,972.12 = 1,699.26/x
  3. Step 3: Cross multiply
    2,877.82x = 3,972.12 × 1,699.26
  4. Step 4: Simplify right side
    2,877.82x = 6,749,664.63
  5. Step 5: Solve for x
    x = 6,749,664.63/2,877.82
  6. Step 6: Final answer
    x = 2,345.41

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1.5x scale

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.