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Finding the Fourth Proportional to 1,782.66, 2,678.10 and 1,052.76

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Solution

The fourth proportional to 1,782.66, 2,678.10 and 1,052.76 is: 1,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.66 : 2,678.10 = 1,052.76 : x
  2. Step 2: Convert to fraction form
    1,782.66/2,678.10 = 1,052.76/x
  3. Step 3: Cross multiply
    1,782.66x = 2,678.10 × 1,052.76
  4. Step 4: Simplify right side
    1,782.66x = 2,819,396.56
  5. Step 5: Solve for x
    x = 2,819,396.56/1,782.66
  6. Step 6: Final answer
    x = 1,581.57

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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.