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Finding the Fourth Proportional to 2,976.95, 4,461.15 and 1,675.67

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Solution

The fourth proportional to 2,976.95, 4,461.15 and 1,675.67 is: 2,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.95 : 4,461.15 = 1,675.67 : x
  2. Step 2: Convert to fraction form
    2,976.95/4,461.15 = 1,675.67/x
  3. Step 3: Cross multiply
    2,976.95x = 4,461.15 × 1,675.67
  4. Step 4: Simplify right side
    2,976.95x = 7,475,415.22
  5. Step 5: Solve for x
    x = 7,475,415.22/2,976.95
  6. Step 6: Final answer
    x = 2,511.10

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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.