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Finding the Fourth Proportional to 1,394.98, 1,923.50 and 890.16

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Solution

The fourth proportional to 1,394.98, 1,923.50 and 890.16 is: 1,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.98 : 1,923.50 = 890.16 : x
  2. Step 2: Convert to fraction form
    1,394.98/1,923.50 = 890.16/x
  3. Step 3: Cross multiply
    1,394.98x = 1,923.50 × 890.16
  4. Step 4: Simplify right side
    1,394.98x = 1,712,222.76
  5. Step 5: Solve for x
    x = 1,712,222.76/1,394.98
  6. Step 6: Final answer
    x = 1,227.42

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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.