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Finding the Fourth Proportional to 2,570.16, 3,853.08 and 1,746.12

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Solution

The fourth proportional to 2,570.16, 3,853.08 and 1,746.12 is: 2,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.16 : 3,853.08 = 1,746.12 : x
  2. Step 2: Convert to fraction form
    2,570.16/3,853.08 = 1,746.12/x
  3. Step 3: Cross multiply
    2,570.16x = 3,853.08 × 1,746.12
  4. Step 4: Simplify right side
    2,570.16x = 6,727,940.05
  5. Step 5: Solve for x
    x = 6,727,940.05/2,570.16
  6. Step 6: Final answer
    x = 2,617.71

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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.