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Finding the Fourth Proportional to 2,289.49, 3,157.12 and 1,959.01

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Solution

The fourth proportional to 2,289.49, 3,157.12 and 1,959.01 is: 2,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.49 : 3,157.12 = 1,959.01 : x
  2. Step 2: Convert to fraction form
    2,289.49/3,157.12 = 1,959.01/x
  3. Step 3: Cross multiply
    2,289.49x = 3,157.12 × 1,959.01
  4. Step 4: Simplify right side
    2,289.49x = 6,184,829.65
  5. Step 5: Solve for x
    x = 6,184,829.65/2,289.49
  6. Step 6: Final answer
    x = 2,701.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.