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Finding the Fourth Proportional to 1,673.97, 2,511.30 and 503.93

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Solution

The fourth proportional to 1,673.97, 2,511.30 and 503.93 is: 755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.97 : 2,511.30 = 503.93 : x
  2. Step 2: Convert to fraction form
    1,673.97/2,511.30 = 503.93/x
  3. Step 3: Cross multiply
    1,673.97x = 2,511.30 × 503.93
  4. Step 4: Simplify right side
    1,673.97x = 1,265,506.85
  5. Step 5: Solve for x
    x = 1,265,506.85/1,673.97
  6. Step 6: Final answer
    x = 755.99

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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.