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Finding the Fourth Proportional to 2,817.46, 3,888.46 and 1,741.40

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Solution

The fourth proportional to 2,817.46, 3,888.46 and 1,741.40 is: 2,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.46 : 3,888.46 = 1,741.40 : x
  2. Step 2: Convert to fraction form
    2,817.46/3,888.46 = 1,741.40/x
  3. Step 3: Cross multiply
    2,817.46x = 3,888.46 × 1,741.40
  4. Step 4: Simplify right side
    2,817.46x = 6,771,361.56
  5. Step 5: Solve for x
    x = 6,771,361.56/2,817.46
  6. Step 6: Final answer
    x = 2,403.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.