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Finding the Fourth Proportional to 1,706.50, 2,364.44 and 1,669.58

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Solution

The fourth proportional to 1,706.50, 2,364.44 and 1,669.58 is: 2,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.50 : 2,364.44 = 1,669.58 : x
  2. Step 2: Convert to fraction form
    1,706.50/2,364.44 = 1,669.58/x
  3. Step 3: Cross multiply
    1,706.50x = 2,364.44 × 1,669.58
  4. Step 4: Simplify right side
    1,706.50x = 3,947,621.74
  5. Step 5: Solve for x
    x = 3,947,621.74/1,706.50
  6. Step 6: Final answer
    x = 2,313.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.