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Finding the Fourth Proportional to 1,396.16, 1,925.34 and 942.91

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Solution

The fourth proportional to 1,396.16, 1,925.34 and 942.91 is: 1,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.16 : 1,925.34 = 942.91 : x
  2. Step 2: Convert to fraction form
    1,396.16/1,925.34 = 942.91/x
  3. Step 3: Cross multiply
    1,396.16x = 1,925.34 × 942.91
  4. Step 4: Simplify right side
    1,396.16x = 1,815,413.95
  5. Step 5: Solve for x
    x = 1,815,413.95/1,396.16
  6. Step 6: Final answer
    x = 1,300.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.