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Finding the Fourth Proportional to 1,474.83, 2,222.64 and 1,328.76

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Solution

The fourth proportional to 1,474.83, 2,222.64 and 1,328.76 is: 2,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.83 : 2,222.64 = 1,328.76 : x
  2. Step 2: Convert to fraction form
    1,474.83/2,222.64 = 1,328.76/x
  3. Step 3: Cross multiply
    1,474.83x = 2,222.64 × 1,328.76
  4. Step 4: Simplify right side
    1,474.83x = 2,953,355.13
  5. Step 5: Solve for x
    x = 2,953,355.13/1,474.83
  6. Step 6: Final answer
    x = 2,002.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.