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Finding the Fourth Proportional to 2,328.93, 3,493.44 and 868.10

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Solution

The fourth proportional to 2,328.93, 3,493.44 and 868.10 is: 1,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.93 : 3,493.44 = 868.10 : x
  2. Step 2: Convert to fraction form
    2,328.93/3,493.44 = 868.10/x
  3. Step 3: Cross multiply
    2,328.93x = 3,493.44 × 868.10
  4. Step 4: Simplify right side
    2,328.93x = 3,032,637.80
  5. Step 5: Solve for x
    x = 3,032,637.80/2,328.93
  6. Step 6: Final answer
    x = 1,302.16

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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.