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Finding the Fourth Proportional to 2,328.52, 3,492.06 and 868.36

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Solution

The fourth proportional to 2,328.52, 3,492.06 and 868.36 is: 1,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.52 : 3,492.06 = 868.36 : x
  2. Step 2: Convert to fraction form
    2,328.52/3,492.06 = 868.36/x
  3. Step 3: Cross multiply
    2,328.52x = 3,492.06 × 868.36
  4. Step 4: Simplify right side
    2,328.52x = 3,032,365.22
  5. Step 5: Solve for x
    x = 3,032,365.22/2,328.52
  6. Step 6: Final answer
    x = 1,302.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.