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Finding the Fourth Proportional to 1,675.35, 2,513.84 and 945.14

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Solution

The fourth proportional to 1,675.35, 2,513.84 and 945.14 is: 1,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.35 : 2,513.84 = 945.14 : x
  2. Step 2: Convert to fraction form
    1,675.35/2,513.84 = 945.14/x
  3. Step 3: Cross multiply
    1,675.35x = 2,513.84 × 945.14
  4. Step 4: Simplify right side
    1,675.35x = 2,375,913.44
  5. Step 5: Solve for x
    x = 2,375,913.44/1,675.35
  6. Step 6: Final answer
    x = 1,418.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.