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Finding the Fourth Proportional to 2,501.30, 3,752.04 and 941.16

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Solution

The fourth proportional to 2,501.30, 3,752.04 and 941.16 is: 1,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.30 : 3,752.04 = 941.16 : x
  2. Step 2: Convert to fraction form
    2,501.30/3,752.04 = 941.16/x
  3. Step 3: Cross multiply
    2,501.30x = 3,752.04 × 941.16
  4. Step 4: Simplify right side
    2,501.30x = 3,531,269.97
  5. Step 5: Solve for x
    x = 3,531,269.97/2,501.30
  6. Step 6: Final answer
    x = 1,411.77

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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.