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Finding the Fourth Proportional to 1,576.06, 2,365.23 and 1,057.06

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Solution

The fourth proportional to 1,576.06, 2,365.23 and 1,057.06 is: 1,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.06 : 2,365.23 = 1,057.06 : x
  2. Step 2: Convert to fraction form
    1,576.06/2,365.23 = 1,057.06/x
  3. Step 3: Cross multiply
    1,576.06x = 2,365.23 × 1,057.06
  4. Step 4: Simplify right side
    1,576.06x = 2,500,190.02
  5. Step 5: Solve for x
    x = 2,500,190.02/1,576.06
  6. Step 6: Final answer
    x = 1,586.35

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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.