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Finding the Fourth Proportional to 1,297.75, 1,953.63 and 1,184.75

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Solution

The fourth proportional to 1,297.75, 1,953.63 and 1,184.75 is: 1,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.75 : 1,953.63 = 1,184.75 : x
  2. Step 2: Convert to fraction form
    1,297.75/1,953.63 = 1,184.75/x
  3. Step 3: Cross multiply
    1,297.75x = 1,953.63 × 1,184.75
  4. Step 4: Simplify right side
    1,297.75x = 2,314,567.86
  5. Step 5: Solve for x
    x = 2,314,567.86/1,297.75
  6. Step 6: Final answer
    x = 1,783.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.