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Finding the Fourth Proportional to 2,370.71, 3,271.73 and 1,572.63

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Solution

The fourth proportional to 2,370.71, 3,271.73 and 1,572.63 is: 2,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.71 : 3,271.73 = 1,572.63 : x
  2. Step 2: Convert to fraction form
    2,370.71/3,271.73 = 1,572.63/x
  3. Step 3: Cross multiply
    2,370.71x = 3,271.73 × 1,572.63
  4. Step 4: Simplify right side
    2,370.71x = 5,145,220.75
  5. Step 5: Solve for x
    x = 5,145,220.75/2,370.71
  6. Step 6: Final answer
    x = 2,170.33

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