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Finding the Fourth Proportional to 2,570.49, 3,833.64 and 2,441.70

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Solution

The fourth proportional to 2,570.49, 3,833.64 and 2,441.70 is: 3,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.49 : 3,833.64 = 2,441.70 : x
  2. Step 2: Convert to fraction form
    2,570.49/3,833.64 = 2,441.70/x
  3. Step 3: Cross multiply
    2,570.49x = 3,833.64 × 2,441.70
  4. Step 4: Simplify right side
    2,570.49x = 9,360,598.79
  5. Step 5: Solve for x
    x = 9,360,598.79/2,570.49
  6. Step 6: Final answer
    x = 3,641.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.