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Finding the Fourth Proportional to 2,328.18, 3,492.54 and 867.48

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Solution

The fourth proportional to 2,328.18, 3,492.54 and 867.48 is: 1,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.18 : 3,492.54 = 867.48 : x
  2. Step 2: Convert to fraction form
    2,328.18/3,492.54 = 867.48/x
  3. Step 3: Cross multiply
    2,328.18x = 3,492.54 × 867.48
  4. Step 4: Simplify right side
    2,328.18x = 3,029,708.60
  5. Step 5: Solve for x
    x = 3,029,708.60/2,328.18
  6. Step 6: Final answer
    x = 1,301.32

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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.