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Finding the Fourth Proportional to 1,672.33, 2,308.86 and 1,075.09

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Solution

The fourth proportional to 1,672.33, 2,308.86 and 1,075.09 is: 1,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.33 : 2,308.86 = 1,075.09 : x
  2. Step 2: Convert to fraction form
    1,672.33/2,308.86 = 1,075.09/x
  3. Step 3: Cross multiply
    1,672.33x = 2,308.86 × 1,075.09
  4. Step 4: Simplify right side
    1,672.33x = 2,482,232.30
  5. Step 5: Solve for x
    x = 2,482,232.30/1,672.33
  6. Step 6: Final answer
    x = 1,484.30

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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.