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Finding the Fourth Proportional to 1,424.52, 1,964.64 and 1,129.32

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Solution

The fourth proportional to 1,424.52, 1,964.64 and 1,129.32 is: 1,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.52 : 1,964.64 = 1,129.32 : x
  2. Step 2: Convert to fraction form
    1,424.52/1,964.64 = 1,129.32/x
  3. Step 3: Cross multiply
    1,424.52x = 1,964.64 × 1,129.32
  4. Step 4: Simplify right side
    1,424.52x = 2,218,707.24
  5. Step 5: Solve for x
    x = 2,218,707.24/1,424.52
  6. Step 6: Final answer
    x = 1,557.51

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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.