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Finding the Fourth Proportional to 1,746.76, 2,621.58 and 721.48

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Solution

The fourth proportional to 1,746.76, 2,621.58 and 721.48 is: 1,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.76 : 2,621.58 = 721.48 : x
  2. Step 2: Convert to fraction form
    1,746.76/2,621.58 = 721.48/x
  3. Step 3: Cross multiply
    1,746.76x = 2,621.58 × 721.48
  4. Step 4: Simplify right side
    1,746.76x = 1,891,417.54
  5. Step 5: Solve for x
    x = 1,891,417.54/1,746.76
  6. Step 6: Final answer
    x = 1,082.81

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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.