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Finding the Fourth Proportional to 1,720.32, 2,580.57 and 1,027.32

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Solution

The fourth proportional to 1,720.32, 2,580.57 and 1,027.32 is: 1,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.32 : 2,580.57 = 1,027.32 : x
  2. Step 2: Convert to fraction form
    1,720.32/2,580.57 = 1,027.32/x
  3. Step 3: Cross multiply
    1,720.32x = 2,580.57 × 1,027.32
  4. Step 4: Simplify right side
    1,720.32x = 2,651,071.17
  5. Step 5: Solve for x
    x = 2,651,071.17/1,720.32
  6. Step 6: Final answer
    x = 1,541.03

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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.