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Finding the Fourth Proportional to 1,758.35, 2,637.53 and 1,682.45

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Solution

The fourth proportional to 1,758.35, 2,637.53 and 1,682.45 is: 2,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.35 : 2,637.53 = 1,682.45 : x
  2. Step 2: Convert to fraction form
    1,758.35/2,637.53 = 1,682.45/x
  3. Step 3: Cross multiply
    1,758.35x = 2,637.53 × 1,682.45
  4. Step 4: Simplify right side
    1,758.35x = 4,437,512.35
  5. Step 5: Solve for x
    x = 4,437,512.35/1,758.35
  6. Step 6: Final answer
    x = 2,523.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.