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Finding the Fourth Proportional to 1,580.81, 2,367.45 and 921.29

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Solution

The fourth proportional to 1,580.81, 2,367.45 and 921.29 is: 1,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.81 : 2,367.45 = 921.29 : x
  2. Step 2: Convert to fraction form
    1,580.81/2,367.45 = 921.29/x
  3. Step 3: Cross multiply
    1,580.81x = 2,367.45 × 921.29
  4. Step 4: Simplify right side
    1,580.81x = 2,181,096.17
  5. Step 5: Solve for x
    x = 2,181,096.17/1,580.81
  6. Step 6: Final answer
    x = 1,379.74

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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.