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Finding the Fourth Proportional to 2,130.44, 2,940.91 and 1,432.22

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Solution

The fourth proportional to 2,130.44, 2,940.91 and 1,432.22 is: 1,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.44 : 2,940.91 = 1,432.22 : x
  2. Step 2: Convert to fraction form
    2,130.44/2,940.91 = 1,432.22/x
  3. Step 3: Cross multiply
    2,130.44x = 2,940.91 × 1,432.22
  4. Step 4: Simplify right side
    2,130.44x = 4,212,011.84
  5. Step 5: Solve for x
    x = 4,212,011.84/2,130.44
  6. Step 6: Final answer
    x = 1,977.07

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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.