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Finding the Fourth Proportional to 1,827.79, 2,742.81 and 853.99

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Solution

The fourth proportional to 1,827.79, 2,742.81 and 853.99 is: 1,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.79 : 2,742.81 = 853.99 : x
  2. Step 2: Convert to fraction form
    1,827.79/2,742.81 = 853.99/x
  3. Step 3: Cross multiply
    1,827.79x = 2,742.81 × 853.99
  4. Step 4: Simplify right side
    1,827.79x = 2,342,332.31
  5. Step 5: Solve for x
    x = 2,342,332.31/1,827.79
  6. Step 6: Final answer
    x = 1,281.51

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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.