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Finding the Fourth Proportional to 2,172.81, 3,260.74 and 874.28

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Solution

The fourth proportional to 2,172.81, 3,260.74 and 874.28 is: 1,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.81 : 3,260.74 = 874.28 : x
  2. Step 2: Convert to fraction form
    2,172.81/3,260.74 = 874.28/x
  3. Step 3: Cross multiply
    2,172.81x = 3,260.74 × 874.28
  4. Step 4: Simplify right side
    2,172.81x = 2,850,799.77
  5. Step 5: Solve for x
    x = 2,850,799.77/2,172.81
  6. Step 6: Final answer
    x = 1,312.03

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1.5x scale

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.