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Finding the Fourth Proportional to 2,341.54, 3,512.28 and 610

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Solution

The fourth proportional to 2,341.54, 3,512.28 and 610 is: 914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.54 : 3,512.28 = 610 : x
  2. Step 2: Convert to fraction form
    2,341.54/3,512.28 = 610/x
  3. Step 3: Cross multiply
    2,341.54x = 3,512.28 × 610
  4. Step 4: Simplify right side
    2,341.54x = 2,142,490.80
  5. Step 5: Solve for x
    x = 2,142,490.80/2,341.54
  6. Step 6: Final answer
    x = 914.99

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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.