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Finding the Fourth Proportional to 2,775.96, 4,164.48 and 1,603.08

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Solution

The fourth proportional to 2,775.96, 4,164.48 and 1,603.08 is: 2,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.96 : 4,164.48 = 1,603.08 : x
  2. Step 2: Convert to fraction form
    2,775.96/4,164.48 = 1,603.08/x
  3. Step 3: Cross multiply
    2,775.96x = 4,164.48 × 1,603.08
  4. Step 4: Simplify right side
    2,775.96x = 6,675,994.60
  5. Step 5: Solve for x
    x = 6,675,994.60/2,775.96
  6. Step 6: Final answer
    x = 2,404.93

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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.