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Finding the Fourth Proportional to 1,841.76, 2,762.03 and 608.82

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Solution

The fourth proportional to 1,841.76, 2,762.03 and 608.82 is: 913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.76 : 2,762.03 = 608.82 : x
  2. Step 2: Convert to fraction form
    1,841.76/2,762.03 = 608.82/x
  3. Step 3: Cross multiply
    1,841.76x = 2,762.03 × 608.82
  4. Step 4: Simplify right side
    1,841.76x = 1,681,576.06
  5. Step 5: Solve for x
    x = 1,681,576.06/1,841.76
  6. Step 6: Final answer
    x = 913.03

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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.