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Finding the Fourth Proportional to 1,442.76, 1,992 and 1,106.08

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Solution

The fourth proportional to 1,442.76, 1,992 and 1,106.08 is: 1,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.76 : 1,992 = 1,106.08 : x
  2. Step 2: Convert to fraction form
    1,442.76/1,992 = 1,106.08/x
  3. Step 3: Cross multiply
    1,442.76x = 1,992 × 1,106.08
  4. Step 4: Simplify right side
    1,442.76x = 2,203,311.36
  5. Step 5: Solve for x
    x = 2,203,311.36/1,442.76
  6. Step 6: Final answer
    x = 1,527.15

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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.