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Finding the Fourth Proportional to 2,004.53, 3,004.05 and 1,127.46

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Solution

The fourth proportional to 2,004.53, 3,004.05 and 1,127.46 is: 1,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.53 : 3,004.05 = 1,127.46 : x
  2. Step 2: Convert to fraction form
    2,004.53/3,004.05 = 1,127.46/x
  3. Step 3: Cross multiply
    2,004.53x = 3,004.05 × 1,127.46
  4. Step 4: Simplify right side
    2,004.53x = 3,386,946.21
  5. Step 5: Solve for x
    x = 3,386,946.21/2,004.53
  6. Step 6: Final answer
    x = 1,689.65

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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.