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Finding the Fourth Proportional to 3,259.40, 4,889.08 and 1,615.50

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Solution

The fourth proportional to 3,259.40, 4,889.08 and 1,615.50 is: 2,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.40 : 4,889.08 = 1,615.50 : x
  2. Step 2: Convert to fraction form
    3,259.40/4,889.08 = 1,615.50/x
  3. Step 3: Cross multiply
    3,259.40x = 4,889.08 × 1,615.50
  4. Step 4: Simplify right side
    3,259.40x = 7,898,308.74
  5. Step 5: Solve for x
    x = 7,898,308.74/3,259.40
  6. Step 6: Final answer
    x = 2,423.24

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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.