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Finding the Fourth Proportional to 2,562.03, 3,842.81 and 713.10

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Solution

The fourth proportional to 2,562.03, 3,842.81 and 713.10 is: 1,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.03 : 3,842.81 = 713.10 : x
  2. Step 2: Convert to fraction form
    2,562.03/3,842.81 = 713.10/x
  3. Step 3: Cross multiply
    2,562.03x = 3,842.81 × 713.10
  4. Step 4: Simplify right side
    2,562.03x = 2,740,307.81
  5. Step 5: Solve for x
    x = 2,740,307.81/2,562.03
  6. Step 6: Final answer
    x = 1,069.59

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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.