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Finding the Fourth Proportional to 3,066.95, 4,596.25 and 1,603.07

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Solution

The fourth proportional to 3,066.95, 4,596.25 and 1,603.07 is: 2,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.95 : 4,596.25 = 1,603.07 : x
  2. Step 2: Convert to fraction form
    3,066.95/4,596.25 = 1,603.07/x
  3. Step 3: Cross multiply
    3,066.95x = 4,596.25 × 1,603.07
  4. Step 4: Simplify right side
    3,066.95x = 7,368,110.49
  5. Step 5: Solve for x
    x = 7,368,110.49/3,066.95
  6. Step 6: Final answer
    x = 2,402.42

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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.