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Finding the Fourth Proportional to 2,055.48, 3,068.16 and 1,882.32

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Solution

The fourth proportional to 2,055.48, 3,068.16 and 1,882.32 is: 2,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.48 : 3,068.16 = 1,882.32 : x
  2. Step 2: Convert to fraction form
    2,055.48/3,068.16 = 1,882.32/x
  3. Step 3: Cross multiply
    2,055.48x = 3,068.16 × 1,882.32
  4. Step 4: Simplify right side
    2,055.48x = 5,775,258.93
  5. Step 5: Solve for x
    x = 5,775,258.93/2,055.48
  6. Step 6: Final answer
    x = 2,809.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.