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Finding the Fourth Proportional to 1,937.79, 2,674.50 and 1,098.48

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Solution

The fourth proportional to 1,937.79, 2,674.50 and 1,098.48 is: 1,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.79 : 2,674.50 = 1,098.48 : x
  2. Step 2: Convert to fraction form
    1,937.79/2,674.50 = 1,098.48/x
  3. Step 3: Cross multiply
    1,937.79x = 2,674.50 × 1,098.48
  4. Step 4: Simplify right side
    1,937.79x = 2,937,884.76
  5. Step 5: Solve for x
    x = 2,937,884.76/1,937.79
  6. Step 6: Final answer
    x = 1,516.10

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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.