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Finding the Fourth Proportional to 2,482.63, 3,723.94 and 1,057.50

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Solution

The fourth proportional to 2,482.63, 3,723.94 and 1,057.50 is: 1,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.63 : 3,723.94 = 1,057.50 : x
  2. Step 2: Convert to fraction form
    2,482.63/3,723.94 = 1,057.50/x
  3. Step 3: Cross multiply
    2,482.63x = 3,723.94 × 1,057.50
  4. Step 4: Simplify right side
    2,482.63x = 3,938,066.55
  5. Step 5: Solve for x
    x = 3,938,066.55/2,482.63
  6. Step 6: Final answer
    x = 1,586.25

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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.