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Finding the Fourth Proportional to 1,932.40, 2,898.60 and 777.88

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Solution

The fourth proportional to 1,932.40, 2,898.60 and 777.88 is: 1,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.40 : 2,898.60 = 777.88 : x
  2. Step 2: Convert to fraction form
    1,932.40/2,898.60 = 777.88/x
  3. Step 3: Cross multiply
    1,932.40x = 2,898.60 × 777.88
  4. Step 4: Simplify right side
    1,932.40x = 2,254,762.97
  5. Step 5: Solve for x
    x = 2,254,762.97/1,932.40
  6. Step 6: Final answer
    x = 1,166.82

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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.