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Finding the Fourth Proportional to 1,726.84, 2,599.99 and 1,522.68

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Solution

The fourth proportional to 1,726.84, 2,599.99 and 1,522.68 is: 2,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.84 : 2,599.99 = 1,522.68 : x
  2. Step 2: Convert to fraction form
    1,726.84/2,599.99 = 1,522.68/x
  3. Step 3: Cross multiply
    1,726.84x = 2,599.99 × 1,522.68
  4. Step 4: Simplify right side
    1,726.84x = 3,958,952.77
  5. Step 5: Solve for x
    x = 3,958,952.77/1,726.84
  6. Step 6: Final answer
    x = 2,292.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.