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Finding the Fourth Proportional to 1,683.23, 2,323.08 and 1,020.08

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Solution

The fourth proportional to 1,683.23, 2,323.08 and 1,020.08 is: 1,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.23 : 2,323.08 = 1,020.08 : x
  2. Step 2: Convert to fraction form
    1,683.23/2,323.08 = 1,020.08/x
  3. Step 3: Cross multiply
    1,683.23x = 2,323.08 × 1,020.08
  4. Step 4: Simplify right side
    1,683.23x = 2,369,727.45
  5. Step 5: Solve for x
    x = 2,369,727.45/1,683.23
  6. Step 6: Final answer
    x = 1,407.85

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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.