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Finding the Fourth Proportional to 1,873.32, 2,811.23 and 777.68

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Solution

The fourth proportional to 1,873.32, 2,811.23 and 777.68 is: 1,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.32 : 2,811.23 = 777.68 : x
  2. Step 2: Convert to fraction form
    1,873.32/2,811.23 = 777.68/x
  3. Step 3: Cross multiply
    1,873.32x = 2,811.23 × 777.68
  4. Step 4: Simplify right side
    1,873.32x = 2,186,237.35
  5. Step 5: Solve for x
    x = 2,186,237.35/1,873.32
  6. Step 6: Final answer
    x = 1,167.04

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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.