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Finding the Fourth Proportional to 2,041.56, 2,817.10 and 1,145.34

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Solution

The fourth proportional to 2,041.56, 2,817.10 and 1,145.34 is: 1,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.56 : 2,817.10 = 1,145.34 : x
  2. Step 2: Convert to fraction form
    2,041.56/2,817.10 = 1,145.34/x
  3. Step 3: Cross multiply
    2,041.56x = 2,817.10 × 1,145.34
  4. Step 4: Simplify right side
    2,041.56x = 3,226,537.31
  5. Step 5: Solve for x
    x = 3,226,537.31/2,041.56
  6. Step 6: Final answer
    x = 1,580.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.