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Finding the Fourth Proportional to 2,354.92, 3,533.40 and 894.49

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Solution

The fourth proportional to 2,354.92, 3,533.40 and 894.49 is: 1,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.92 : 3,533.40 = 894.49 : x
  2. Step 2: Convert to fraction form
    2,354.92/3,533.40 = 894.49/x
  3. Step 3: Cross multiply
    2,354.92x = 3,533.40 × 894.49
  4. Step 4: Simplify right side
    2,354.92x = 3,160,582.13
  5. Step 5: Solve for x
    x = 3,160,582.13/2,354.92
  6. Step 6: Final answer
    x = 1,342.12

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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.