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Finding the Fourth Proportional to 2,341.92, 3,509.94 and 1,172.25

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Solution

The fourth proportional to 2,341.92, 3,509.94 and 1,172.25 is: 1,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.92 : 3,509.94 = 1,172.25 : x
  2. Step 2: Convert to fraction form
    2,341.92/3,509.94 = 1,172.25/x
  3. Step 3: Cross multiply
    2,341.92x = 3,509.94 × 1,172.25
  4. Step 4: Simplify right side
    2,341.92x = 4,114,527.17
  5. Step 5: Solve for x
    x = 4,114,527.17/2,341.92
  6. Step 6: Final answer
    x = 1,756.90

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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.