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Finding the Fourth Proportional to 2,570.41, 3,837.03 and 2,259.04

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Solution

The fourth proportional to 2,570.41, 3,837.03 and 2,259.04 is: 3,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.41 : 3,837.03 = 2,259.04 : x
  2. Step 2: Convert to fraction form
    2,570.41/3,837.03 = 2,259.04/x
  3. Step 3: Cross multiply
    2,570.41x = 3,837.03 × 2,259.04
  4. Step 4: Simplify right side
    2,570.41x = 8,667,973.77
  5. Step 5: Solve for x
    x = 8,667,973.77/2,570.41
  6. Step 6: Final answer
    x = 3,372.21

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1.5x scale

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.