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Finding the Fourth Proportional to 1,948.02, 2,921.64 and 777.66

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Solution

The fourth proportional to 1,948.02, 2,921.64 and 777.66 is: 1,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.02 : 2,921.64 = 777.66 : x
  2. Step 2: Convert to fraction form
    1,948.02/2,921.64 = 777.66/x
  3. Step 3: Cross multiply
    1,948.02x = 2,921.64 × 777.66
  4. Step 4: Simplify right side
    1,948.02x = 2,272,042.56
  5. Step 5: Solve for x
    x = 2,272,042.56/1,948.02
  6. Step 6: Final answer
    x = 1,166.33

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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.