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Finding the Fourth Proportional to 2,328.34, 3,492.58 and 942.34

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Solution

The fourth proportional to 2,328.34, 3,492.58 and 942.34 is: 1,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.34 : 3,492.58 = 942.34 : x
  2. Step 2: Convert to fraction form
    2,328.34/3,492.58 = 942.34/x
  3. Step 3: Cross multiply
    2,328.34x = 3,492.58 × 942.34
  4. Step 4: Simplify right side
    2,328.34x = 3,291,197.84
  5. Step 5: Solve for x
    x = 3,291,197.84/2,328.34
  6. Step 6: Final answer
    x = 1,413.54

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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.