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Finding the Fourth Proportional to 1,493.04, 2,055.64 and 1,230.64

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Solution

The fourth proportional to 1,493.04, 2,055.64 and 1,230.64 is: 1,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.04 : 2,055.64 = 1,230.64 : x
  2. Step 2: Convert to fraction form
    1,493.04/2,055.64 = 1,230.64/x
  3. Step 3: Cross multiply
    1,493.04x = 2,055.64 × 1,230.64
  4. Step 4: Simplify right side
    1,493.04x = 2,529,752.81
  5. Step 5: Solve for x
    x = 2,529,752.81/1,493.04
  6. Step 6: Final answer
    x = 1,694.36

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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.