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Finding the Fourth Proportional to 2,384.88, 3,574.44 and 1,014

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Solution

The fourth proportional to 2,384.88, 3,574.44 and 1,014 is: 1,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.88 : 3,574.44 = 1,014 : x
  2. Step 2: Convert to fraction form
    2,384.88/3,574.44 = 1,014/x
  3. Step 3: Cross multiply
    2,384.88x = 3,574.44 × 1,014
  4. Step 4: Simplify right side
    2,384.88x = 3,624,482.16
  5. Step 5: Solve for x
    x = 3,624,482.16/2,384.88
  6. Step 6: Final answer
    x = 1,519.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.