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Finding the Fourth Proportional to 2,074.60, 2,862.93 and 1,190.89

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Solution

The fourth proportional to 2,074.60, 2,862.93 and 1,190.89 is: 1,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.60 : 2,862.93 = 1,190.89 : x
  2. Step 2: Convert to fraction form
    2,074.60/2,862.93 = 1,190.89/x
  3. Step 3: Cross multiply
    2,074.60x = 2,862.93 × 1,190.89
  4. Step 4: Simplify right side
    2,074.60x = 3,409,434.71
  5. Step 5: Solve for x
    x = 3,409,434.71/2,074.60
  6. Step 6: Final answer
    x = 1,643.42

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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.