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Finding the Fourth Proportional to 1,705.18, 2,347.46 and 1,626.81

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Solution

The fourth proportional to 1,705.18, 2,347.46 and 1,626.81 is: 2,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.18 : 2,347.46 = 1,626.81 : x
  2. Step 2: Convert to fraction form
    1,705.18/2,347.46 = 1,626.81/x
  3. Step 3: Cross multiply
    1,705.18x = 2,347.46 × 1,626.81
  4. Step 4: Simplify right side
    1,705.18x = 3,818,869.37
  5. Step 5: Solve for x
    x = 3,818,869.37/1,705.18
  6. Step 6: Final answer
    x = 2,239.57

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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.