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Finding the Fourth Proportional to 1,653.10, 2,475.72 and 958.33

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Solution

The fourth proportional to 1,653.10, 2,475.72 and 958.33 is: 1,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.10 : 2,475.72 = 958.33 : x
  2. Step 2: Convert to fraction form
    1,653.10/2,475.72 = 958.33/x
  3. Step 3: Cross multiply
    1,653.10x = 2,475.72 × 958.33
  4. Step 4: Simplify right side
    1,653.10x = 2,372,556.75
  5. Step 5: Solve for x
    x = 2,372,556.75/1,653.10
  6. Step 6: Final answer
    x = 1,435.22

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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.