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Finding the Fourth Proportional to 1,706.10, 2,559.15 and 941.46

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Solution

The fourth proportional to 1,706.10, 2,559.15 and 941.46 is: 1,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.10 : 2,559.15 = 941.46 : x
  2. Step 2: Convert to fraction form
    1,706.10/2,559.15 = 941.46/x
  3. Step 3: Cross multiply
    1,706.10x = 2,559.15 × 941.46
  4. Step 4: Simplify right side
    1,706.10x = 2,409,337.36
  5. Step 5: Solve for x
    x = 2,409,337.36/1,706.10
  6. Step 6: Final answer
    x = 1,412.19

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Why These Related Problems?

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