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Finding the Fourth Proportional to 1,861.59, 2,569.20 and 1,190.02

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Solution

The fourth proportional to 1,861.59, 2,569.20 and 1,190.02 is: 1,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.59 : 2,569.20 = 1,190.02 : x
  2. Step 2: Convert to fraction form
    1,861.59/2,569.20 = 1,190.02/x
  3. Step 3: Cross multiply
    1,861.59x = 2,569.20 × 1,190.02
  4. Step 4: Simplify right side
    1,861.59x = 3,057,386.54
  5. Step 5: Solve for x
    x = 3,057,386.54/1,861.59
  6. Step 6: Final answer
    x = 1,642.35

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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.