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Finding the Fourth Proportional to 2,746.37, 4,119 and 897.54

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Solution

The fourth proportional to 2,746.37, 4,119 and 897.54 is: 1,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.37 : 4,119 = 897.54 : x
  2. Step 2: Convert to fraction form
    2,746.37/4,119 = 897.54/x
  3. Step 3: Cross multiply
    2,746.37x = 4,119 × 897.54
  4. Step 4: Simplify right side
    2,746.37x = 3,696,967.26
  5. Step 5: Solve for x
    x = 3,696,967.26/2,746.37
  6. Step 6: Final answer
    x = 1,346.13

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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.