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Finding the Fourth Proportional to 1,580.32, 2,369.46 and 656.51

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Solution

The fourth proportional to 1,580.32, 2,369.46 and 656.51 is: 984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.32 : 2,369.46 = 656.51 : x
  2. Step 2: Convert to fraction form
    1,580.32/2,369.46 = 656.51/x
  3. Step 3: Cross multiply
    1,580.32x = 2,369.46 × 656.51
  4. Step 4: Simplify right side
    1,580.32x = 1,555,570.90
  5. Step 5: Solve for x
    x = 1,555,570.90/1,580.32
  6. Step 6: Final answer
    x = 984.34

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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.