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Finding the Fourth Proportional to 1,388.75, 2,071.07 and 1,184.63

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Solution

The fourth proportional to 1,388.75, 2,071.07 and 1,184.63 is: 1,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.75 : 2,071.07 = 1,184.63 : x
  2. Step 2: Convert to fraction form
    1,388.75/2,071.07 = 1,184.63/x
  3. Step 3: Cross multiply
    1,388.75x = 2,071.07 × 1,184.63
  4. Step 4: Simplify right side
    1,388.75x = 2,453,439.82
  5. Step 5: Solve for x
    x = 2,453,439.82/1,388.75
  6. Step 6: Final answer
    x = 1,766.66

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1.5x scale

Why These Related Problems?

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