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Finding the Fourth Proportional to 1,651.21, 2,476.61 and 958.25

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Solution

The fourth proportional to 1,651.21, 2,476.61 and 958.25 is: 1,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.21 : 2,476.61 = 958.25 : x
  2. Step 2: Convert to fraction form
    1,651.21/2,476.61 = 958.25/x
  3. Step 3: Cross multiply
    1,651.21x = 2,476.61 × 958.25
  4. Step 4: Simplify right side
    1,651.21x = 2,373,206.74
  5. Step 5: Solve for x
    x = 2,373,206.74/1,651.21
  6. Step 6: Final answer
    x = 1,437.26

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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.