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Finding the Fourth Proportional to 1,684.10, 2,523.71 and 903.47

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Solution

The fourth proportional to 1,684.10, 2,523.71 and 903.47 is: 1,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.10 : 2,523.71 = 903.47 : x
  2. Step 2: Convert to fraction form
    1,684.10/2,523.71 = 903.47/x
  3. Step 3: Cross multiply
    1,684.10x = 2,523.71 × 903.47
  4. Step 4: Simplify right side
    1,684.10x = 2,280,079.14
  5. Step 5: Solve for x
    x = 2,280,079.14/1,684.10
  6. Step 6: Final answer
    x = 1,353.89

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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.