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Finding the Fourth Proportional to 1,846.51, 2,548.18 and 1,007.21

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Solution

The fourth proportional to 1,846.51, 2,548.18 and 1,007.21 is: 1,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.51 : 2,548.18 = 1,007.21 : x
  2. Step 2: Convert to fraction form
    1,846.51/2,548.18 = 1,007.21/x
  3. Step 3: Cross multiply
    1,846.51x = 2,548.18 × 1,007.21
  4. Step 4: Simplify right side
    1,846.51x = 2,566,552.38
  5. Step 5: Solve for x
    x = 2,566,552.38/1,846.51
  6. Step 6: Final answer
    x = 1,389.95

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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.