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Finding the Fourth Proportional to 2,475.42, 3,713.74 and 1,746.42

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Solution

The fourth proportional to 2,475.42, 3,713.74 and 1,746.42 is: 2,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.42 : 3,713.74 = 1,746.42 : x
  2. Step 2: Convert to fraction form
    2,475.42/3,713.74 = 1,746.42/x
  3. Step 3: Cross multiply
    2,475.42x = 3,713.74 × 1,746.42
  4. Step 4: Simplify right side
    2,475.42x = 6,485,749.81
  5. Step 5: Solve for x
    x = 6,485,749.81/2,475.42
  6. Step 6: Final answer
    x = 2,620.06

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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.