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Finding the Fourth Proportional to 1,173.60, 1,614.60 and 1,141.20

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Solution

The fourth proportional to 1,173.60, 1,614.60 and 1,141.20 is: 1,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.60 : 1,614.60 = 1,141.20 : x
  2. Step 2: Convert to fraction form
    1,173.60/1,614.60 = 1,141.20/x
  3. Step 3: Cross multiply
    1,173.60x = 1,614.60 × 1,141.20
  4. Step 4: Simplify right side
    1,173.60x = 1,842,581.52
  5. Step 5: Solve for x
    x = 1,842,581.52/1,173.60
  6. Step 6: Final answer
    x = 1,570.03

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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.