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Finding the Fourth Proportional to 1,485.54, 2,038.37 and 1,459.62

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Solution

The fourth proportional to 1,485.54, 2,038.37 and 1,459.62 is: 2,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.54 : 2,038.37 = 1,459.62 : x
  2. Step 2: Convert to fraction form
    1,485.54/2,038.37 = 1,459.62/x
  3. Step 3: Cross multiply
    1,485.54x = 2,038.37 × 1,459.62
  4. Step 4: Simplify right side
    1,485.54x = 2,975,238.32
  5. Step 5: Solve for x
    x = 2,975,238.32/1,485.54
  6. Step 6: Final answer
    x = 2,002.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.