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Finding the Fourth Proportional to 1,503.05, 2,074.32 and 865.19

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Solution

The fourth proportional to 1,503.05, 2,074.32 and 865.19 is: 1,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.05 : 2,074.32 = 865.19 : x
  2. Step 2: Convert to fraction form
    1,503.05/2,074.32 = 865.19/x
  3. Step 3: Cross multiply
    1,503.05x = 2,074.32 × 865.19
  4. Step 4: Simplify right side
    1,503.05x = 1,794,670.55
  5. Step 5: Solve for x
    x = 1,794,670.55/1,503.05
  6. Step 6: Final answer
    x = 1,194.02

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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.