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Finding the Fourth Proportional to 3,162.84, 4,364.85 and 1,746.60

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Solution

The fourth proportional to 3,162.84, 4,364.85 and 1,746.60 is: 2,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.84 : 4,364.85 = 1,746.60 : x
  2. Step 2: Convert to fraction form
    3,162.84/4,364.85 = 1,746.60/x
  3. Step 3: Cross multiply
    3,162.84x = 4,364.85 × 1,746.60
  4. Step 4: Simplify right side
    3,162.84x = 7,623,647.01
  5. Step 5: Solve for x
    x = 7,623,647.01/3,162.84
  6. Step 6: Final answer
    x = 2,410.38

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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.