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Finding the Fourth Proportional to 1,683.62, 2,323.38 and 1,019.99

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Solution

The fourth proportional to 1,683.62, 2,323.38 and 1,019.99 is: 1,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.62 : 2,323.38 = 1,019.99 : x
  2. Step 2: Convert to fraction form
    1,683.62/2,323.38 = 1,019.99/x
  3. Step 3: Cross multiply
    1,683.62x = 2,323.38 × 1,019.99
  4. Step 4: Simplify right side
    1,683.62x = 2,369,834.00
  5. Step 5: Solve for x
    x = 2,369,834.00/1,683.62
  6. Step 6: Final answer
    x = 1,407.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.