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Finding the Fourth Proportional to 1,683.99, 2,524.55 and 991.35

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Solution

The fourth proportional to 1,683.99, 2,524.55 and 991.35 is: 1,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.99 : 2,524.55 = 991.35 : x
  2. Step 2: Convert to fraction form
    1,683.99/2,524.55 = 991.35/x
  3. Step 3: Cross multiply
    1,683.99x = 2,524.55 × 991.35
  4. Step 4: Simplify right side
    1,683.99x = 2,502,707.69
  5. Step 5: Solve for x
    x = 2,502,707.69/1,683.99
  6. Step 6: Final answer
    x = 1,486.18

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Why These Related Problems?

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