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Finding the Fourth Proportional to 2,925.74, 4,035.67 and 2,041.22

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Solution

The fourth proportional to 2,925.74, 4,035.67 and 2,041.22 is: 2,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.74 : 4,035.67 = 2,041.22 : x
  2. Step 2: Convert to fraction form
    2,925.74/4,035.67 = 2,041.22/x
  3. Step 3: Cross multiply
    2,925.74x = 4,035.67 × 2,041.22
  4. Step 4: Simplify right side
    2,925.74x = 8,237,665.04
  5. Step 5: Solve for x
    x = 8,237,665.04/2,925.74
  6. Step 6: Final answer
    x = 2,815.59

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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.