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Finding the Fourth Proportional to 2,775.63, 4,161.42 and 1,603.98

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Solution

The fourth proportional to 2,775.63, 4,161.42 and 1,603.98 is: 2,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.63 : 4,161.42 = 1,603.98 : x
  2. Step 2: Convert to fraction form
    2,775.63/4,161.42 = 1,603.98/x
  3. Step 3: Cross multiply
    2,775.63x = 4,161.42 × 1,603.98
  4. Step 4: Simplify right side
    2,775.63x = 6,674,834.45
  5. Step 5: Solve for x
    x = 6,674,834.45/2,775.63
  6. Step 6: Final answer
    x = 2,404.80

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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.