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Finding the Fourth Proportional to 2,482.94, 3,723.06 and 1,023.14

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Solution

The fourth proportional to 2,482.94, 3,723.06 and 1,023.14 is: 1,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.94 : 3,723.06 = 1,023.14 : x
  2. Step 2: Convert to fraction form
    2,482.94/3,723.06 = 1,023.14/x
  3. Step 3: Cross multiply
    2,482.94x = 3,723.06 × 1,023.14
  4. Step 4: Simplify right side
    2,482.94x = 3,809,211.61
  5. Step 5: Solve for x
    x = 3,809,211.61/2,482.94
  6. Step 6: Final answer
    x = 1,534.15

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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.