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Finding the Fourth Proportional to 2,160.45, 2,970.42 and 1,922.10

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Solution

The fourth proportional to 2,160.45, 2,970.42 and 1,922.10 is: 2,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.45 : 2,970.42 = 1,922.10 : x
  2. Step 2: Convert to fraction form
    2,160.45/2,970.42 = 1,922.10/x
  3. Step 3: Cross multiply
    2,160.45x = 2,970.42 × 1,922.10
  4. Step 4: Simplify right side
    2,160.45x = 5,709,444.28
  5. Step 5: Solve for x
    x = 5,709,444.28/2,160.45
  6. Step 6: Final answer
    x = 2,642.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.