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Finding the Fourth Proportional to 2,941.04, 4,411.53 and 749.94

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Solution

The fourth proportional to 2,941.04, 4,411.53 and 749.94 is: 1,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.04 : 4,411.53 = 749.94 : x
  2. Step 2: Convert to fraction form
    2,941.04/4,411.53 = 749.94/x
  3. Step 3: Cross multiply
    2,941.04x = 4,411.53 × 749.94
  4. Step 4: Simplify right side
    2,941.04x = 3,308,382.81
  5. Step 5: Solve for x
    x = 3,308,382.81/2,941.04
  6. Step 6: Final answer
    x = 1,124.90

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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.