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Finding the Fourth Proportional to 1,665.45, 2,297.36 and 1,216.74

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Solution

The fourth proportional to 1,665.45, 2,297.36 and 1,216.74 is: 1,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.45 : 2,297.36 = 1,216.74 : x
  2. Step 2: Convert to fraction form
    1,665.45/2,297.36 = 1,216.74/x
  3. Step 3: Cross multiply
    1,665.45x = 2,297.36 × 1,216.74
  4. Step 4: Simplify right side
    1,665.45x = 2,795,289.81
  5. Step 5: Solve for x
    x = 2,795,289.81/1,665.45
  6. Step 6: Final answer
    x = 1,678.40

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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.