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Finding the Fourth Proportional to 1,920.40, 2,879.64 and 1,054

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Solution

The fourth proportional to 1,920.40, 2,879.64 and 1,054 is: 1,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.40 : 2,879.64 = 1,054 : x
  2. Step 2: Convert to fraction form
    1,920.40/2,879.64 = 1,054/x
  3. Step 3: Cross multiply
    1,920.40x = 2,879.64 × 1,054
  4. Step 4: Simplify right side
    1,920.40x = 3,035,140.56
  5. Step 5: Solve for x
    x = 3,035,140.56/1,920.40
  6. Step 6: Final answer
    x = 1,580.47

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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.