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Finding the Fourth Proportional to 1,541, 2,311.74 and 1,057.16

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Solution

The fourth proportional to 1,541, 2,311.74 and 1,057.16 is: 1,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541 : 2,311.74 = 1,057.16 : x
  2. Step 2: Convert to fraction form
    1,541/2,311.74 = 1,057.16/x
  3. Step 3: Cross multiply
    1,541x = 2,311.74 × 1,057.16
  4. Step 4: Simplify right side
    1,541x = 2,443,879.06
  5. Step 5: Solve for x
    x = 2,443,879.06/1,541
  6. Step 6: Final answer
    x = 1,585.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.