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Finding the Fourth Proportional to 1,765.68, 2,647.54 and 841.44

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Solution

The fourth proportional to 1,765.68, 2,647.54 and 841.44 is: 1,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.68 : 2,647.54 = 841.44 : x
  2. Step 2: Convert to fraction form
    1,765.68/2,647.54 = 841.44/x
  3. Step 3: Cross multiply
    1,765.68x = 2,647.54 × 841.44
  4. Step 4: Simplify right side
    1,765.68x = 2,227,746.06
  5. Step 5: Solve for x
    x = 2,227,746.06/1,765.68
  6. Step 6: Final answer
    x = 1,261.69

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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.