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Finding the Fourth Proportional to 1,706.46, 2,558.19 and 1,416.37

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Solution

The fourth proportional to 1,706.46, 2,558.19 and 1,416.37 is: 2,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.46 : 2,558.19 = 1,416.37 : x
  2. Step 2: Convert to fraction form
    1,706.46/2,558.19 = 1,416.37/x
  3. Step 3: Cross multiply
    1,706.46x = 2,558.19 × 1,416.37
  4. Step 4: Simplify right side
    1,706.46x = 3,623,342.49
  5. Step 5: Solve for x
    x = 3,623,342.49/1,706.46
  6. Step 6: Final answer
    x = 2,123.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.