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Finding the Fourth Proportional to 2,522, 3,784.64 and 983

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Solution

The fourth proportional to 2,522, 3,784.64 and 983 is: 1,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522 : 3,784.64 = 983 : x
  2. Step 2: Convert to fraction form
    2,522/3,784.64 = 983/x
  3. Step 3: Cross multiply
    2,522x = 3,784.64 × 983
  4. Step 4: Simplify right side
    2,522x = 3,720,301.12
  5. Step 5: Solve for x
    x = 3,720,301.12/2,522
  6. Step 6: Final answer
    x = 1,475.14

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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.