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Finding the Fourth Proportional to 2,741.64, 4,113.10 and 1,010.28

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Solution

The fourth proportional to 2,741.64, 4,113.10 and 1,010.28 is: 1,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.64 : 4,113.10 = 1,010.28 : x
  2. Step 2: Convert to fraction form
    2,741.64/4,113.10 = 1,010.28/x
  3. Step 3: Cross multiply
    2,741.64x = 4,113.10 × 1,010.28
  4. Step 4: Simplify right side
    2,741.64x = 4,155,382.67
  5. Step 5: Solve for x
    x = 4,155,382.67/2,741.64
  6. Step 6: Final answer
    x = 1,515.66

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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.