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Finding the Fourth Proportional to 2,384.76, 3,570.02 and 2,134.48

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Solution

The fourth proportional to 2,384.76, 3,570.02 and 2,134.48 is: 3,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.76 : 3,570.02 = 2,134.48 : x
  2. Step 2: Convert to fraction form
    2,384.76/3,570.02 = 2,134.48/x
  3. Step 3: Cross multiply
    2,384.76x = 3,570.02 × 2,134.48
  4. Step 4: Simplify right side
    2,384.76x = 7,620,136.29
  5. Step 5: Solve for x
    x = 7,620,136.29/2,384.76
  6. Step 6: Final answer
    x = 3,195.35

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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.