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Finding the Fourth Proportional to 1,600.21, 2,208.09 and 1,075.87

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Solution

The fourth proportional to 1,600.21, 2,208.09 and 1,075.87 is: 1,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.21 : 2,208.09 = 1,075.87 : x
  2. Step 2: Convert to fraction form
    1,600.21/2,208.09 = 1,075.87/x
  3. Step 3: Cross multiply
    1,600.21x = 2,208.09 × 1,075.87
  4. Step 4: Simplify right side
    1,600.21x = 2,375,617.79
  5. Step 5: Solve for x
    x = 2,375,617.79/1,600.21
  6. Step 6: Final answer
    x = 1,484.57

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