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Finding the Fourth Proportional to 2,941.74, 4,404.12 and 2,290.50

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Solution

The fourth proportional to 2,941.74, 4,404.12 and 2,290.50 is: 3,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.74 : 4,404.12 = 2,290.50 : x
  2. Step 2: Convert to fraction form
    2,941.74/4,404.12 = 2,290.50/x
  3. Step 3: Cross multiply
    2,941.74x = 4,404.12 × 2,290.50
  4. Step 4: Simplify right side
    2,941.74x = 10,087,636.86
  5. Step 5: Solve for x
    x = 10,087,636.86/2,941.74
  6. Step 6: Final answer
    x = 3,429.14

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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.