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Finding the Fourth Proportional to 1,427.61, 1,970.25 and 868.23

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Solution

The fourth proportional to 1,427.61, 1,970.25 and 868.23 is: 1,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.61 : 1,970.25 = 868.23 : x
  2. Step 2: Convert to fraction form
    1,427.61/1,970.25 = 868.23/x
  3. Step 3: Cross multiply
    1,427.61x = 1,970.25 × 868.23
  4. Step 4: Simplify right side
    1,427.61x = 1,710,630.16
  5. Step 5: Solve for x
    x = 1,710,630.16/1,427.61
  6. Step 6: Final answer
    x = 1,198.25

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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.