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Finding the Fourth Proportional to 1,580.03, 2,365.36 and 1,171.00

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Solution

The fourth proportional to 1,580.03, 2,365.36 and 1,171.00 is: 1,753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.03 : 2,365.36 = 1,171.00 : x
  2. Step 2: Convert to fraction form
    1,580.03/2,365.36 = 1,171.00/x
  3. Step 3: Cross multiply
    1,580.03x = 2,365.36 × 1,171.00
  4. Step 4: Simplify right side
    1,580.03x = 2,769,827.72
  5. Step 5: Solve for x
    x = 2,769,827.72/1,580.03
  6. Step 6: Final answer
    x = 1,753.03

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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.