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Finding the Fourth Proportional to 2,495.84, 3,744.03 and 1,036.22

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Solution

The fourth proportional to 2,495.84, 3,744.03 and 1,036.22 is: 1,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.84 : 3,744.03 = 1,036.22 : x
  2. Step 2: Convert to fraction form
    2,495.84/3,744.03 = 1,036.22/x
  3. Step 3: Cross multiply
    2,495.84x = 3,744.03 × 1,036.22
  4. Step 4: Simplify right side
    2,495.84x = 3,879,638.77
  5. Step 5: Solve for x
    x = 3,879,638.77/2,495.84
  6. Step 6: Final answer
    x = 1,554.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.