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Finding the Fourth Proportional to 2,737.09, 4,102.80 and 1,504.07

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Solution

The fourth proportional to 2,737.09, 4,102.80 and 1,504.07 is: 2,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.09 : 4,102.80 = 1,504.07 : x
  2. Step 2: Convert to fraction form
    2,737.09/4,102.80 = 1,504.07/x
  3. Step 3: Cross multiply
    2,737.09x = 4,102.80 × 1,504.07
  4. Step 4: Simplify right side
    2,737.09x = 6,170,898.40
  5. Step 5: Solve for x
    x = 6,170,898.40/2,737.09
  6. Step 6: Final answer
    x = 2,254.55

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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.