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Finding the Fourth Proportional to 2,122.74, 2,930.37 and 1,415.76

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Solution

The fourth proportional to 2,122.74, 2,930.37 and 1,415.76 is: 1,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.74 : 2,930.37 = 1,415.76 : x
  2. Step 2: Convert to fraction form
    2,122.74/2,930.37 = 1,415.76/x
  3. Step 3: Cross multiply
    2,122.74x = 2,930.37 × 1,415.76
  4. Step 4: Simplify right side
    2,122.74x = 4,148,700.63
  5. Step 5: Solve for x
    x = 4,148,700.63/2,122.74
  6. Step 6: Final answer
    x = 1,954.41

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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.