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Finding the Fourth Proportional to 2,386.02, 3,579.96 and 999

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Solution

The fourth proportional to 2,386.02, 3,579.96 and 999 is: 1,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.02 : 3,579.96 = 999 : x
  2. Step 2: Convert to fraction form
    2,386.02/3,579.96 = 999/x
  3. Step 3: Cross multiply
    2,386.02x = 3,579.96 × 999
  4. Step 4: Simplify right side
    2,386.02x = 3,576,380.04
  5. Step 5: Solve for x
    x = 3,576,380.04/2,386.02
  6. Step 6: Final answer
    x = 1,498.89

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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.