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Finding the Fourth Proportional to 2,384.34, 3,289.84 and 1,501.31

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Solution

The fourth proportional to 2,384.34, 3,289.84 and 1,501.31 is: 2,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.34 : 3,289.84 = 1,501.31 : x
  2. Step 2: Convert to fraction form
    2,384.34/3,289.84 = 1,501.31/x
  3. Step 3: Cross multiply
    2,384.34x = 3,289.84 × 1,501.31
  4. Step 4: Simplify right side
    2,384.34x = 4,939,049.49
  5. Step 5: Solve for x
    x = 4,939,049.49/2,384.34
  6. Step 6: Final answer
    x = 2,071.45

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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.