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Finding the Fourth Proportional to 2,528.68, 3,489.80 and 1,466.84

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Solution

The fourth proportional to 2,528.68, 3,489.80 and 1,466.84 is: 2,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.68 : 3,489.80 = 1,466.84 : x
  2. Step 2: Convert to fraction form
    2,528.68/3,489.80 = 1,466.84/x
  3. Step 3: Cross multiply
    2,528.68x = 3,489.80 × 1,466.84
  4. Step 4: Simplify right side
    2,528.68x = 5,118,978.23
  5. Step 5: Solve for x
    x = 5,118,978.23/2,528.68
  6. Step 6: Final answer
    x = 2,024.37

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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.