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Finding the Fourth Proportional to 2,388.09, 3,582.31 and 1,000.03

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Solution

The fourth proportional to 2,388.09, 3,582.31 and 1,000.03 is: 1,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.09 : 3,582.31 = 1,000.03 : x
  2. Step 2: Convert to fraction form
    2,388.09/3,582.31 = 1,000.03/x
  3. Step 3: Cross multiply
    2,388.09x = 3,582.31 × 1,000.03
  4. Step 4: Simplify right side
    2,388.09x = 3,582,417.47
  5. Step 5: Solve for x
    x = 3,582,417.47/2,388.09
  6. Step 6: Final answer
    x = 1,500.12

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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.