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Finding the Fourth Proportional to 3,074.76, 4,607.46 and 1,341

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Solution

The fourth proportional to 3,074.76, 4,607.46 and 1,341 is: 2,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.76 : 4,607.46 = 1,341 : x
  2. Step 2: Convert to fraction form
    3,074.76/4,607.46 = 1,341/x
  3. Step 3: Cross multiply
    3,074.76x = 4,607.46 × 1,341
  4. Step 4: Simplify right side
    3,074.76x = 6,178,603.86
  5. Step 5: Solve for x
    x = 6,178,603.86/3,074.76
  6. Step 6: Final answer
    x = 2,009.46

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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.