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Finding the Fourth Proportional to 2,746.10, 4,117.78 and 896.97

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Solution

The fourth proportional to 2,746.10, 4,117.78 and 896.97 is: 1,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.10 : 4,117.78 = 896.97 : x
  2. Step 2: Convert to fraction form
    2,746.10/4,117.78 = 896.97/x
  3. Step 3: Cross multiply
    2,746.10x = 4,117.78 × 896.97
  4. Step 4: Simplify right side
    2,746.10x = 3,693,520.64
  5. Step 5: Solve for x
    x = 3,693,520.64/2,746.10
  6. Step 6: Final answer
    x = 1,345.01

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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.