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Finding the Fourth Proportional to 1,776.34, 2,449.29 and 1,568.98

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Solution

The fourth proportional to 1,776.34, 2,449.29 and 1,568.98 is: 2,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.34 : 2,449.29 = 1,568.98 : x
  2. Step 2: Convert to fraction form
    1,776.34/2,449.29 = 1,568.98/x
  3. Step 3: Cross multiply
    1,776.34x = 2,449.29 × 1,568.98
  4. Step 4: Simplify right side
    1,776.34x = 3,842,887.02
  5. Step 5: Solve for x
    x = 3,842,887.02/1,776.34
  6. Step 6: Final answer
    x = 2,163.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.