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Finding the Fourth Proportional to 1,672.33, 2,307.54 and 1,074.96

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Solution

The fourth proportional to 1,672.33, 2,307.54 and 1,074.96 is: 1,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.33 : 2,307.54 = 1,074.96 : x
  2. Step 2: Convert to fraction form
    1,672.33/2,307.54 = 1,074.96/x
  3. Step 3: Cross multiply
    1,672.33x = 2,307.54 × 1,074.96
  4. Step 4: Simplify right side
    1,672.33x = 2,480,496.29
  5. Step 5: Solve for x
    x = 2,480,496.29/1,672.33
  6. Step 6: Final answer
    x = 1,483.26

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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.