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Finding the Fourth Proportional to 1,648.67, 2,473.28 and 782.51

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Solution

The fourth proportional to 1,648.67, 2,473.28 and 782.51 is: 1,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.67 : 2,473.28 = 782.51 : x
  2. Step 2: Convert to fraction form
    1,648.67/2,473.28 = 782.51/x
  3. Step 3: Cross multiply
    1,648.67x = 2,473.28 × 782.51
  4. Step 4: Simplify right side
    1,648.67x = 1,935,366.33
  5. Step 5: Solve for x
    x = 1,935,366.33/1,648.67
  6. Step 6: Final answer
    x = 1,173.90

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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.