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Finding the Fourth Proportional to 2,411, 3,615.60 and 1,424.08

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Solution

The fourth proportional to 2,411, 3,615.60 and 1,424.08 is: 2,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411 : 3,615.60 = 1,424.08 : x
  2. Step 2: Convert to fraction form
    2,411/3,615.60 = 1,424.08/x
  3. Step 3: Cross multiply
    2,411x = 3,615.60 × 1,424.08
  4. Step 4: Simplify right side
    2,411x = 5,148,903.65
  5. Step 5: Solve for x
    x = 5,148,903.65/2,411
  6. Step 6: Final answer
    x = 2,135.59

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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.