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Finding the Fourth Proportional to 1,705.98, 2,355.42 and 1,306.94

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Solution

The fourth proportional to 1,705.98, 2,355.42 and 1,306.94 is: 1,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.98 : 2,355.42 = 1,306.94 : x
  2. Step 2: Convert to fraction form
    1,705.98/2,355.42 = 1,306.94/x
  3. Step 3: Cross multiply
    1,705.98x = 2,355.42 × 1,306.94
  4. Step 4: Simplify right side
    1,705.98x = 3,078,392.61
  5. Step 5: Solve for x
    x = 3,078,392.61/1,705.98
  6. Step 6: Final answer
    x = 1,804.47

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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.