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Finding the Fourth Proportional to 1,684.07, 2,526.17 and 588.41

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Solution

The fourth proportional to 1,684.07, 2,526.17 and 588.41 is: 882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.07 : 2,526.17 = 588.41 : x
  2. Step 2: Convert to fraction form
    1,684.07/2,526.17 = 588.41/x
  3. Step 3: Cross multiply
    1,684.07x = 2,526.17 × 588.41
  4. Step 4: Simplify right side
    1,684.07x = 1,486,408.12
  5. Step 5: Solve for x
    x = 1,486,408.12/1,684.07
  6. Step 6: Final answer
    x = 882.63

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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.