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Finding the Fourth Proportional to 2,812.66, 3,881.47 and 1,570.66

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Solution

The fourth proportional to 2,812.66, 3,881.47 and 1,570.66 is: 2,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.66 : 3,881.47 = 1,570.66 : x
  2. Step 2: Convert to fraction form
    2,812.66/3,881.47 = 1,570.66/x
  3. Step 3: Cross multiply
    2,812.66x = 3,881.47 × 1,570.66
  4. Step 4: Simplify right side
    2,812.66x = 6,096,469.67
  5. Step 5: Solve for x
    x = 6,096,469.67/2,812.66
  6. Step 6: Final answer
    x = 2,167.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.