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Finding the Fourth Proportional to 1,556.06, 2,146.80 and 892.40

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Solution

The fourth proportional to 1,556.06, 2,146.80 and 892.40 is: 1,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.06 : 2,146.80 = 892.40 : x
  2. Step 2: Convert to fraction form
    1,556.06/2,146.80 = 892.40/x
  3. Step 3: Cross multiply
    1,556.06x = 2,146.80 × 892.40
  4. Step 4: Simplify right side
    1,556.06x = 1,915,804.32
  5. Step 5: Solve for x
    x = 1,915,804.32/1,556.06
  6. Step 6: Final answer
    x = 1,231.19

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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.