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Finding the Fourth Proportional to 1,400.26, 1,931.69 and 902.65

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Solution

The fourth proportional to 1,400.26, 1,931.69 and 902.65 is: 1,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.26 : 1,931.69 = 902.65 : x
  2. Step 2: Convert to fraction form
    1,400.26/1,931.69 = 902.65/x
  3. Step 3: Cross multiply
    1,400.26x = 1,931.69 × 902.65
  4. Step 4: Simplify right side
    1,400.26x = 1,743,625.81
  5. Step 5: Solve for x
    x = 1,743,625.81/1,400.26
  6. Step 6: Final answer
    x = 1,245.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.