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Finding the Fourth Proportional to 2,384.49, 3,574.23 and 1,288.56

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Solution

The fourth proportional to 2,384.49, 3,574.23 and 1,288.56 is: 1,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.49 : 3,574.23 = 1,288.56 : x
  2. Step 2: Convert to fraction form
    2,384.49/3,574.23 = 1,288.56/x
  3. Step 3: Cross multiply
    2,384.49x = 3,574.23 × 1,288.56
  4. Step 4: Simplify right side
    2,384.49x = 4,605,609.81
  5. Step 5: Solve for x
    x = 4,605,609.81/2,384.49
  6. Step 6: Final answer
    x = 1,931.49

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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.