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Finding the Fourth Proportional to 1,683.90, 2,526.26 and 991.13

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Solution

The fourth proportional to 1,683.90, 2,526.26 and 991.13 is: 1,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.90 : 2,526.26 = 991.13 : x
  2. Step 2: Convert to fraction form
    1,683.90/2,526.26 = 991.13/x
  3. Step 3: Cross multiply
    1,683.90x = 2,526.26 × 991.13
  4. Step 4: Simplify right side
    1,683.90x = 2,503,834.49
  5. Step 5: Solve for x
    x = 2,503,834.49/1,683.90
  6. Step 6: Final answer
    x = 1,486.93

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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.