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Finding the Fourth Proportional to 1,690.42, 2,533.20 and 958.45

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Solution

The fourth proportional to 1,690.42, 2,533.20 and 958.45 is: 1,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.42 : 2,533.20 = 958.45 : x
  2. Step 2: Convert to fraction form
    1,690.42/2,533.20 = 958.45/x
  3. Step 3: Cross multiply
    1,690.42x = 2,533.20 × 958.45
  4. Step 4: Simplify right side
    1,690.42x = 2,427,939.21
  5. Step 5: Solve for x
    x = 2,427,939.21/1,690.42
  6. Step 6: Final answer
    x = 1,436.30

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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.