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Finding the Fourth Proportional to 2,038.36, 2,812.71 and 1,153.99

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Solution

The fourth proportional to 2,038.36, 2,812.71 and 1,153.99 is: 1,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.36 : 2,812.71 = 1,153.99 : x
  2. Step 2: Convert to fraction form
    2,038.36/2,812.71 = 1,153.99/x
  3. Step 3: Cross multiply
    2,038.36x = 2,812.71 × 1,153.99
  4. Step 4: Simplify right side
    2,038.36x = 3,245,839.21
  5. Step 5: Solve for x
    x = 3,245,839.21/2,038.36
  6. Step 6: Final answer
    x = 1,592.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.