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Finding the Fourth Proportional to 1,948.37, 2,921.51 and 777.77

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Solution

The fourth proportional to 1,948.37, 2,921.51 and 777.77 is: 1,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.37 : 2,921.51 = 777.77 : x
  2. Step 2: Convert to fraction form
    1,948.37/2,921.51 = 777.77/x
  3. Step 3: Cross multiply
    1,948.37x = 2,921.51 × 777.77
  4. Step 4: Simplify right side
    1,948.37x = 2,272,244.34
  5. Step 5: Solve for x
    x = 2,272,244.34/1,948.37
  6. Step 6: Final answer
    x = 1,166.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.