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Finding the Fourth Proportional to 2,901.60, 4,349.04 and 1,441.74

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Solution

The fourth proportional to 2,901.60, 4,349.04 and 1,441.74 is: 2,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.60 : 4,349.04 = 1,441.74 : x
  2. Step 2: Convert to fraction form
    2,901.60/4,349.04 = 1,441.74/x
  3. Step 3: Cross multiply
    2,901.60x = 4,349.04 × 1,441.74
  4. Step 4: Simplify right side
    2,901.60x = 6,270,184.93
  5. Step 5: Solve for x
    x = 6,270,184.93/2,901.60
  6. Step 6: Final answer
    x = 2,160.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.