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Finding the Fourth Proportional to 1,684.32, 2,323.80 and 1,020.96

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Solution

The fourth proportional to 1,684.32, 2,323.80 and 1,020.96 is: 1,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.32 : 2,323.80 = 1,020.96 : x
  2. Step 2: Convert to fraction form
    1,684.32/2,323.80 = 1,020.96/x
  3. Step 3: Cross multiply
    1,684.32x = 2,323.80 × 1,020.96
  4. Step 4: Simplify right side
    1,684.32x = 2,372,506.85
  5. Step 5: Solve for x
    x = 2,372,506.85/1,684.32
  6. Step 6: Final answer
    x = 1,408.58

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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.