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Finding the Fourth Proportional to 2,656.28, 3,983.50 and 924.52

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Solution

The fourth proportional to 2,656.28, 3,983.50 and 924.52 is: 1,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.28 : 3,983.50 = 924.52 : x
  2. Step 2: Convert to fraction form
    2,656.28/3,983.50 = 924.52/x
  3. Step 3: Cross multiply
    2,656.28x = 3,983.50 × 924.52
  4. Step 4: Simplify right side
    2,656.28x = 3,682,825.42
  5. Step 5: Solve for x
    x = 3,682,825.42/2,656.28
  6. Step 6: Final answer
    x = 1,386.46

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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.