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Finding the Fourth Proportional to 1,703.23, 2,351.24 and 1,636.95

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Solution

The fourth proportional to 1,703.23, 2,351.24 and 1,636.95 is: 2,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.23 : 2,351.24 = 1,636.95 : x
  2. Step 2: Convert to fraction form
    1,703.23/2,351.24 = 1,636.95/x
  3. Step 3: Cross multiply
    1,703.23x = 2,351.24 × 1,636.95
  4. Step 4: Simplify right side
    1,703.23x = 3,848,862.32
  5. Step 5: Solve for x
    x = 3,848,862.32/1,703.23
  6. Step 6: Final answer
    x = 2,259.74

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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.