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Finding the Fourth Proportional to 1,894.61, 2,615.24 and 1,098.29

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Solution

The fourth proportional to 1,894.61, 2,615.24 and 1,098.29 is: 1,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.61 : 2,615.24 = 1,098.29 : x
  2. Step 2: Convert to fraction form
    1,894.61/2,615.24 = 1,098.29/x
  3. Step 3: Cross multiply
    1,894.61x = 2,615.24 × 1,098.29
  4. Step 4: Simplify right side
    1,894.61x = 2,872,291.94
  5. Step 5: Solve for x
    x = 2,872,291.94/1,894.61
  6. Step 6: Final answer
    x = 1,516.03

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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.