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Finding the Fourth Proportional to 1,846.42, 2,548 and 1,007.12

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Solution

The fourth proportional to 1,846.42, 2,548 and 1,007.12 is: 1,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.42 : 2,548 = 1,007.12 : x
  2. Step 2: Convert to fraction form
    1,846.42/2,548 = 1,007.12/x
  3. Step 3: Cross multiply
    1,846.42x = 2,548 × 1,007.12
  4. Step 4: Simplify right side
    1,846.42x = 2,566,141.76
  5. Step 5: Solve for x
    x = 2,566,141.76/1,846.42
  6. Step 6: Final answer
    x = 1,389.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.