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Finding the Fourth Proportional to 1,503.55, 2,074.97 and 906.23

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Solution

The fourth proportional to 1,503.55, 2,074.97 and 906.23 is: 1,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.55 : 2,074.97 = 906.23 : x
  2. Step 2: Convert to fraction form
    1,503.55/2,074.97 = 906.23/x
  3. Step 3: Cross multiply
    1,503.55x = 2,074.97 × 906.23
  4. Step 4: Simplify right side
    1,503.55x = 1,880,389.69
  5. Step 5: Solve for x
    x = 1,880,389.69/1,503.55
  6. Step 6: Final answer
    x = 1,250.64

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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.