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Finding the Fourth Proportional to 2,884.74, 4,326.03 and 1,653.06

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Solution

The fourth proportional to 2,884.74, 4,326.03 and 1,653.06 is: 2,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.74 : 4,326.03 = 1,653.06 : x
  2. Step 2: Convert to fraction form
    2,884.74/4,326.03 = 1,653.06/x
  3. Step 3: Cross multiply
    2,884.74x = 4,326.03 × 1,653.06
  4. Step 4: Simplify right side
    2,884.74x = 7,151,187.15
  5. Step 5: Solve for x
    x = 7,151,187.15/2,884.74
  6. Step 6: Final answer
    x = 2,478.97

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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.