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Finding the Fourth Proportional to 1,486.87, 2,232.48 and 1,460.62

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Solution

The fourth proportional to 1,486.87, 2,232.48 and 1,460.62 is: 2,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.87 : 2,232.48 = 1,460.62 : x
  2. Step 2: Convert to fraction form
    1,486.87/2,232.48 = 1,460.62/x
  3. Step 3: Cross multiply
    1,486.87x = 2,232.48 × 1,460.62
  4. Step 4: Simplify right side
    1,486.87x = 3,260,803.01
  5. Step 5: Solve for x
    x = 3,260,803.01/1,486.87
  6. Step 6: Final answer
    x = 2,193.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.