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Finding the Fourth Proportional to 2,503.98, 3,751.82 and 859.62

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Solution

The fourth proportional to 2,503.98, 3,751.82 and 859.62 is: 1,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.98 : 3,751.82 = 859.62 : x
  2. Step 2: Convert to fraction form
    2,503.98/3,751.82 = 859.62/x
  3. Step 3: Cross multiply
    2,503.98x = 3,751.82 × 859.62
  4. Step 4: Simplify right side
    2,503.98x = 3,225,139.51
  5. Step 5: Solve for x
    x = 3,225,139.51/2,503.98
  6. Step 6: Final answer
    x = 1,288.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.