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Finding the Fourth Proportional to 1,495.91, 2,232.49 and 1,396.88

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Solution

The fourth proportional to 1,495.91, 2,232.49 and 1,396.88 is: 2,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.91 : 2,232.49 = 1,396.88 : x
  2. Step 2: Convert to fraction form
    1,495.91/2,232.49 = 1,396.88/x
  3. Step 3: Cross multiply
    1,495.91x = 2,232.49 × 1,396.88
  4. Step 4: Simplify right side
    1,495.91x = 3,118,520.63
  5. Step 5: Solve for x
    x = 3,118,520.63/1,495.91
  6. Step 6: Final answer
    x = 2,084.70

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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.