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Finding the Fourth Proportional to 1,368.39, 2,050.16 and 933.42

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Solution

The fourth proportional to 1,368.39, 2,050.16 and 933.42 is: 1,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.39 : 2,050.16 = 933.42 : x
  2. Step 2: Convert to fraction form
    1,368.39/2,050.16 = 933.42/x
  3. Step 3: Cross multiply
    1,368.39x = 2,050.16 × 933.42
  4. Step 4: Simplify right side
    1,368.39x = 1,913,668.62
  5. Step 5: Solve for x
    x = 1,913,668.62/1,368.39
  6. Step 6: Final answer
    x = 1,398.48

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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.