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Finding the Fourth Proportional to 1,363.63, 2,031.90 and 1,297.51

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Solution

The fourth proportional to 1,363.63, 2,031.90 and 1,297.51 is: 1,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.63 : 2,031.90 = 1,297.51 : x
  2. Step 2: Convert to fraction form
    1,363.63/2,031.90 = 1,297.51/x
  3. Step 3: Cross multiply
    1,363.63x = 2,031.90 × 1,297.51
  4. Step 4: Simplify right side
    1,363.63x = 2,636,410.57
  5. Step 5: Solve for x
    x = 2,636,410.57/1,363.63
  6. Step 6: Final answer
    x = 1,933.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.