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Finding the Fourth Proportional to 1,735.68, 2,394.72 and 1,404.48

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Solution

The fourth proportional to 1,735.68, 2,394.72 and 1,404.48 is: 1,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.68 : 2,394.72 = 1,404.48 : x
  2. Step 2: Convert to fraction form
    1,735.68/2,394.72 = 1,404.48/x
  3. Step 3: Cross multiply
    1,735.68x = 2,394.72 × 1,404.48
  4. Step 4: Simplify right side
    1,735.68x = 3,363,336.35
  5. Step 5: Solve for x
    x = 3,363,336.35/1,735.68
  6. Step 6: Final answer
    x = 1,937.76

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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.