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Finding the Fourth Proportional to 2,386.28, 3,580.81 and 999.50

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Solution

The fourth proportional to 2,386.28, 3,580.81 and 999.50 is: 1,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.28 : 3,580.81 = 999.50 : x
  2. Step 2: Convert to fraction form
    2,386.28/3,580.81 = 999.50/x
  3. Step 3: Cross multiply
    2,386.28x = 3,580.81 × 999.50
  4. Step 4: Simplify right side
    2,386.28x = 3,579,031.05
  5. Step 5: Solve for x
    x = 3,579,031.05/2,386.28
  6. Step 6: Final answer
    x = 1,499.84

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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.