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Finding the Fourth Proportional to 1,758.39, 2,637.52 and 1,497.78

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Solution

The fourth proportional to 1,758.39, 2,637.52 and 1,497.78 is: 2,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.39 : 2,637.52 = 1,497.78 : x
  2. Step 2: Convert to fraction form
    1,758.39/2,637.52 = 1,497.78/x
  3. Step 3: Cross multiply
    1,758.39x = 2,637.52 × 1,497.78
  4. Step 4: Simplify right side
    1,758.39x = 3,950,424.71
  5. Step 5: Solve for x
    x = 3,950,424.71/1,758.39
  6. Step 6: Final answer
    x = 2,246.61

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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.