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Finding the Fourth Proportional to 1,509.37, 2,079.80 and 1,213.45

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Solution

The fourth proportional to 1,509.37, 2,079.80 and 1,213.45 is: 1,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.37 : 2,079.80 = 1,213.45 : x
  2. Step 2: Convert to fraction form
    1,509.37/2,079.80 = 1,213.45/x
  3. Step 3: Cross multiply
    1,509.37x = 2,079.80 × 1,213.45
  4. Step 4: Simplify right side
    1,509.37x = 2,523,722.91
  5. Step 5: Solve for x
    x = 2,523,722.91/1,509.37
  6. Step 6: Final answer
    x = 1,672.04

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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.