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Finding the Fourth Proportional to 1,706.17, 2,558.44 and 1,012.93

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Solution

The fourth proportional to 1,706.17, 2,558.44 and 1,012.93 is: 1,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.17 : 2,558.44 = 1,012.93 : x
  2. Step 2: Convert to fraction form
    1,706.17/2,558.44 = 1,012.93/x
  3. Step 3: Cross multiply
    1,706.17x = 2,558.44 × 1,012.93
  4. Step 4: Simplify right side
    1,706.17x = 2,591,520.63
  5. Step 5: Solve for x
    x = 2,591,520.63/1,706.17
  6. Step 6: Final answer
    x = 1,518.91

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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.