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Finding the Fourth Proportional to 1,883.64, 2,597.11 and 1,528.55

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Solution

The fourth proportional to 1,883.64, 2,597.11 and 1,528.55 is: 2,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.64 : 2,597.11 = 1,528.55 : x
  2. Step 2: Convert to fraction form
    1,883.64/2,597.11 = 1,528.55/x
  3. Step 3: Cross multiply
    1,883.64x = 2,597.11 × 1,528.55
  4. Step 4: Simplify right side
    1,883.64x = 3,969,812.49
  5. Step 5: Solve for x
    x = 3,969,812.49/1,883.64
  6. Step 6: Final answer
    x = 2,107.52

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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.