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Finding the Fourth Proportional to 2,941.48, 4,412.51 and 750.23

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Solution

The fourth proportional to 2,941.48, 4,412.51 and 750.23 is: 1,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.48 : 4,412.51 = 750.23 : x
  2. Step 2: Convert to fraction form
    2,941.48/4,412.51 = 750.23/x
  3. Step 3: Cross multiply
    2,941.48x = 4,412.51 × 750.23
  4. Step 4: Simplify right side
    2,941.48x = 3,310,390.92
  5. Step 5: Solve for x
    x = 3,310,390.92/2,941.48
  6. Step 6: Final answer
    x = 1,125.42

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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.