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Finding the Fourth Proportional to 2,701.91, 3,728.63 and 1,459.91

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Solution

The fourth proportional to 2,701.91, 3,728.63 and 1,459.91 is: 2,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.91 : 3,728.63 = 1,459.91 : x
  2. Step 2: Convert to fraction form
    2,701.91/3,728.63 = 1,459.91/x
  3. Step 3: Cross multiply
    2,701.91x = 3,728.63 × 1,459.91
  4. Step 4: Simplify right side
    2,701.91x = 5,443,445.58
  5. Step 5: Solve for x
    x = 5,443,445.58/2,701.91
  6. Step 6: Final answer
    x = 2,014.67

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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.