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Finding the Fourth Proportional to 1,970.36, 2,954.64 and 583.20

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Solution

The fourth proportional to 1,970.36, 2,954.64 and 583.20 is: 874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.36 : 2,954.64 = 583.20 : x
  2. Step 2: Convert to fraction form
    1,970.36/2,954.64 = 583.20/x
  3. Step 3: Cross multiply
    1,970.36x = 2,954.64 × 583.20
  4. Step 4: Simplify right side
    1,970.36x = 1,723,146.05
  5. Step 5: Solve for x
    x = 1,723,146.05/1,970.36
  6. Step 6: Final answer
    x = 874.53

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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.