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Finding the Fourth Proportional to 1,929.68, 2,661.60 and 1,865.38

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Solution

The fourth proportional to 1,929.68, 2,661.60 and 1,865.38 is: 2,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.68 : 2,661.60 = 1,865.38 : x
  2. Step 2: Convert to fraction form
    1,929.68/2,661.60 = 1,865.38/x
  3. Step 3: Cross multiply
    1,929.68x = 2,661.60 × 1,865.38
  4. Step 4: Simplify right side
    1,929.68x = 4,964,895.41
  5. Step 5: Solve for x
    x = 4,964,895.41/1,929.68
  6. Step 6: Final answer
    x = 2,572.91

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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.