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Finding the Fourth Proportional to 1,597.14, 2,204.36 and 898.52

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Solution

The fourth proportional to 1,597.14, 2,204.36 and 898.52 is: 1,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.14 : 2,204.36 = 898.52 : x
  2. Step 2: Convert to fraction form
    1,597.14/2,204.36 = 898.52/x
  3. Step 3: Cross multiply
    1,597.14x = 2,204.36 × 898.52
  4. Step 4: Simplify right side
    1,597.14x = 1,980,646.03
  5. Step 5: Solve for x
    x = 1,980,646.03/1,597.14
  6. Step 6: Final answer
    x = 1,240.12

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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.