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Finding the Fourth Proportional to 2,420.94, 3,347.60 and 1,922.70

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Solution

The fourth proportional to 2,420.94, 3,347.60 and 1,922.70 is: 2,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.94 : 3,347.60 = 1,922.70 : x
  2. Step 2: Convert to fraction form
    2,420.94/3,347.60 = 1,922.70/x
  3. Step 3: Cross multiply
    2,420.94x = 3,347.60 × 1,922.70
  4. Step 4: Simplify right side
    2,420.94x = 6,436,430.52
  5. Step 5: Solve for x
    x = 6,436,430.52/2,420.94
  6. Step 6: Final answer
    x = 2,658.65

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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.