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Finding the Fourth Proportional to 1,919.51, 2,878.96 and 602.95

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Solution

The fourth proportional to 1,919.51, 2,878.96 and 602.95 is: 904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.51 : 2,878.96 = 602.95 : x
  2. Step 2: Convert to fraction form
    1,919.51/2,878.96 = 602.95/x
  3. Step 3: Cross multiply
    1,919.51x = 2,878.96 × 602.95
  4. Step 4: Simplify right side
    1,919.51x = 1,735,868.93
  5. Step 5: Solve for x
    x = 1,735,868.93/1,919.51
  6. Step 6: Final answer
    x = 904.33

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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.