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Finding the Fourth Proportional to 2,646.35, 3,650.29 and 1,703.37

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Solution

The fourth proportional to 2,646.35, 3,650.29 and 1,703.37 is: 2,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.35 : 3,650.29 = 1,703.37 : x
  2. Step 2: Convert to fraction form
    2,646.35/3,650.29 = 1,703.37/x
  3. Step 3: Cross multiply
    2,646.35x = 3,650.29 × 1,703.37
  4. Step 4: Simplify right side
    2,646.35x = 6,217,794.48
  5. Step 5: Solve for x
    x = 6,217,794.48/2,646.35
  6. Step 6: Final answer
    x = 2,349.58

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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.