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Finding the Fourth Proportional to 2,393.32, 3,302.09 and 1,509.41

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Solution

The fourth proportional to 2,393.32, 3,302.09 and 1,509.41 is: 2,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.32 : 3,302.09 = 1,509.41 : x
  2. Step 2: Convert to fraction form
    2,393.32/3,302.09 = 1,509.41/x
  3. Step 3: Cross multiply
    2,393.32x = 3,302.09 × 1,509.41
  4. Step 4: Simplify right side
    2,393.32x = 4,984,207.67
  5. Step 5: Solve for x
    x = 4,984,207.67/2,393.32
  6. Step 6: Final answer
    x = 2,082.55

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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.