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Finding the Fourth Proportional to 2,371.64, 3,570.29 and 2,133.50

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Solution

The fourth proportional to 2,371.64, 3,570.29 and 2,133.50 is: 3,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.64 : 3,570.29 = 2,133.50 : x
  2. Step 2: Convert to fraction form
    2,371.64/3,570.29 = 2,133.50/x
  3. Step 3: Cross multiply
    2,371.64x = 3,570.29 × 2,133.50
  4. Step 4: Simplify right side
    2,371.64x = 7,617,213.72
  5. Step 5: Solve for x
    x = 7,617,213.72/2,371.64
  6. Step 6: Final answer
    x = 3,211.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.