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Finding the Fourth Proportional to 2,359.47, 3,523.25 and 2,052.03

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Solution

The fourth proportional to 2,359.47, 3,523.25 and 2,052.03 is: 3,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.47 : 3,523.25 = 2,052.03 : x
  2. Step 2: Convert to fraction form
    2,359.47/3,523.25 = 2,052.03/x
  3. Step 3: Cross multiply
    2,359.47x = 3,523.25 × 2,052.03
  4. Step 4: Simplify right side
    2,359.47x = 7,229,804.44
  5. Step 5: Solve for x
    x = 7,229,804.44/2,359.47
  6. Step 6: Final answer
    x = 3,064.16

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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.