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Finding the Fourth Proportional to 1,777.04, 2,663.62 and 911.40

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Solution

The fourth proportional to 1,777.04, 2,663.62 and 911.40 is: 1,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.04 : 2,663.62 = 911.40 : x
  2. Step 2: Convert to fraction form
    1,777.04/2,663.62 = 911.40/x
  3. Step 3: Cross multiply
    1,777.04x = 2,663.62 × 911.40
  4. Step 4: Simplify right side
    1,777.04x = 2,427,623.27
  5. Step 5: Solve for x
    x = 2,427,623.27/1,777.04
  6. Step 6: Final answer
    x = 1,366.11

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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.