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Finding the Fourth Proportional to 2,441.63, 3,661.29 and 1,054.10

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Solution

The fourth proportional to 2,441.63, 3,661.29 and 1,054.10 is: 1,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.63 : 3,661.29 = 1,054.10 : x
  2. Step 2: Convert to fraction form
    2,441.63/3,661.29 = 1,054.10/x
  3. Step 3: Cross multiply
    2,441.63x = 3,661.29 × 1,054.10
  4. Step 4: Simplify right side
    2,441.63x = 3,859,347.48
  5. Step 5: Solve for x
    x = 3,859,347.48/2,441.63
  6. Step 6: Final answer
    x = 1,580.65

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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.