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Finding the Fourth Proportional to 1,365.71, 2,044.86 and 1,071.65

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Solution

The fourth proportional to 1,365.71, 2,044.86 and 1,071.65 is: 1,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.71 : 2,044.86 = 1,071.65 : x
  2. Step 2: Convert to fraction form
    1,365.71/2,044.86 = 1,071.65/x
  3. Step 3: Cross multiply
    1,365.71x = 2,044.86 × 1,071.65
  4. Step 4: Simplify right side
    1,365.71x = 2,191,374.22
  5. Step 5: Solve for x
    x = 2,191,374.22/1,365.71
  6. Step 6: Final answer
    x = 1,604.57

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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.