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Finding the Fourth Proportional to 1,705.90, 2,343.93 and 1,355.98

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Solution

The fourth proportional to 1,705.90, 2,343.93 and 1,355.98 is: 1,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.90 : 2,343.93 = 1,355.98 : x
  2. Step 2: Convert to fraction form
    1,705.90/2,343.93 = 1,355.98/x
  3. Step 3: Cross multiply
    1,705.90x = 2,343.93 × 1,355.98
  4. Step 4: Simplify right side
    1,705.90x = 3,178,313.87
  5. Step 5: Solve for x
    x = 3,178,313.87/1,705.90
  6. Step 6: Final answer
    x = 1,863.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.