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Finding the Fourth Proportional to 2,900.94, 4,003.05 and 1,641.93

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Solution

The fourth proportional to 2,900.94, 4,003.05 and 1,641.93 is: 2,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.94 : 4,003.05 = 1,641.93 : x
  2. Step 2: Convert to fraction form
    2,900.94/4,003.05 = 1,641.93/x
  3. Step 3: Cross multiply
    2,900.94x = 4,003.05 × 1,641.93
  4. Step 4: Simplify right side
    2,900.94x = 6,572,727.89
  5. Step 5: Solve for x
    x = 6,572,727.89/2,900.94
  6. Step 6: Final answer
    x = 2,265.72

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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.