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Finding the Fourth Proportional to 2,492.33, 3,738.49 and 1,031.51

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Solution

The fourth proportional to 2,492.33, 3,738.49 and 1,031.51 is: 1,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.33 : 3,738.49 = 1,031.51 : x
  2. Step 2: Convert to fraction form
    2,492.33/3,738.49 = 1,031.51/x
  3. Step 3: Cross multiply
    2,492.33x = 3,738.49 × 1,031.51
  4. Step 4: Simplify right side
    2,492.33x = 3,856,296.59
  5. Step 5: Solve for x
    x = 3,856,296.59/2,492.33
  6. Step 6: Final answer
    x = 1,547.27

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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.