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Finding the Fourth Proportional to 2,746.22, 4,119.95 and 897.47

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Solution

The fourth proportional to 2,746.22, 4,119.95 and 897.47 is: 1,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.22 : 4,119.95 = 897.47 : x
  2. Step 2: Convert to fraction form
    2,746.22/4,119.95 = 897.47/x
  3. Step 3: Cross multiply
    2,746.22x = 4,119.95 × 897.47
  4. Step 4: Simplify right side
    2,746.22x = 3,697,528.62
  5. Step 5: Solve for x
    x = 3,697,528.62/2,746.22
  6. Step 6: Final answer
    x = 1,346.41

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1.5x scale

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.