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Finding the Fourth Proportional to 2,731.01, 4,095.95 and 782.78

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Solution

The fourth proportional to 2,731.01, 4,095.95 and 782.78 is: 1,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.01 : 4,095.95 = 782.78 : x
  2. Step 2: Convert to fraction form
    2,731.01/4,095.95 = 782.78/x
  3. Step 3: Cross multiply
    2,731.01x = 4,095.95 × 782.78
  4. Step 4: Simplify right side
    2,731.01x = 3,206,203.35
  5. Step 5: Solve for x
    x = 3,206,203.35/2,731.01
  6. Step 6: Final answer
    x = 1,174.00

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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.