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Finding the Fourth Proportional to 1,683.72, 2,323.49 and 975.60

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Solution

The fourth proportional to 1,683.72, 2,323.49 and 975.60 is: 1,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.72 : 2,323.49 = 975.60 : x
  2. Step 2: Convert to fraction form
    1,683.72/2,323.49 = 975.60/x
  3. Step 3: Cross multiply
    1,683.72x = 2,323.49 × 975.60
  4. Step 4: Simplify right side
    1,683.72x = 2,266,796.84
  5. Step 5: Solve for x
    x = 2,266,796.84/1,683.72
  6. Step 6: Final answer
    x = 1,346.30

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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.