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Finding the Fourth Proportional to 2,386.79, 3,581.16 and 1,289.86

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Solution

The fourth proportional to 2,386.79, 3,581.16 and 1,289.86 is: 1,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.79 : 3,581.16 = 1,289.86 : x
  2. Step 2: Convert to fraction form
    2,386.79/3,581.16 = 1,289.86/x
  3. Step 3: Cross multiply
    2,386.79x = 3,581.16 × 1,289.86
  4. Step 4: Simplify right side
    2,386.79x = 4,619,195.04
  5. Step 5: Solve for x
    x = 4,619,195.04/2,386.79
  6. Step 6: Final answer
    x = 1,935.32

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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.