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Finding the Fourth Proportional to 2,119.03, 3,162.96 and 1,970.47

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Solution

The fourth proportional to 2,119.03, 3,162.96 and 1,970.47 is: 2,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.03 : 3,162.96 = 1,970.47 : x
  2. Step 2: Convert to fraction form
    2,119.03/3,162.96 = 1,970.47/x
  3. Step 3: Cross multiply
    2,119.03x = 3,162.96 × 1,970.47
  4. Step 4: Simplify right side
    2,119.03x = 6,232,512.87
  5. Step 5: Solve for x
    x = 6,232,512.87/2,119.03
  6. Step 6: Final answer
    x = 2,941.21

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