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Finding the Fourth Proportional to 1,684.61, 2,518.02 and 1,463.48

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Solution

The fourth proportional to 1,684.61, 2,518.02 and 1,463.48 is: 2,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.61 : 2,518.02 = 1,463.48 : x
  2. Step 2: Convert to fraction form
    1,684.61/2,518.02 = 1,463.48/x
  3. Step 3: Cross multiply
    1,684.61x = 2,518.02 × 1,463.48
  4. Step 4: Simplify right side
    1,684.61x = 3,685,064.59
  5. Step 5: Solve for x
    x = 3,685,064.59/1,684.61
  6. Step 6: Final answer
    x = 2,187.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.