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Finding the Fourth Proportional to 1,633.84, 2,255.66 and 1,075.28

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Solution

The fourth proportional to 1,633.84, 2,255.66 and 1,075.28 is: 1,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.84 : 2,255.66 = 1,075.28 : x
  2. Step 2: Convert to fraction form
    1,633.84/2,255.66 = 1,075.28/x
  3. Step 3: Cross multiply
    1,633.84x = 2,255.66 × 1,075.28
  4. Step 4: Simplify right side
    1,633.84x = 2,425,466.08
  5. Step 5: Solve for x
    x = 2,425,466.08/1,633.84
  6. Step 6: Final answer
    x = 1,484.52

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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.