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Finding the Fourth Proportional to 1,482.14, 2,224.02 and 1,116.02

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Solution

The fourth proportional to 1,482.14, 2,224.02 and 1,116.02 is: 1,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.14 : 2,224.02 = 1,116.02 : x
  2. Step 2: Convert to fraction form
    1,482.14/2,224.02 = 1,116.02/x
  3. Step 3: Cross multiply
    1,482.14x = 2,224.02 × 1,116.02
  4. Step 4: Simplify right side
    1,482.14x = 2,482,050.80
  5. Step 5: Solve for x
    x = 2,482,050.80/1,482.14
  6. Step 6: Final answer
    x = 1,674.64

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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.