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Finding the Fourth Proportional to 1,886.77, 2,830.43 and 732.25

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Solution

The fourth proportional to 1,886.77, 2,830.43 and 732.25 is: 1,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.77 : 2,830.43 = 732.25 : x
  2. Step 2: Convert to fraction form
    1,886.77/2,830.43 = 732.25/x
  3. Step 3: Cross multiply
    1,886.77x = 2,830.43 × 732.25
  4. Step 4: Simplify right side
    1,886.77x = 2,072,582.37
  5. Step 5: Solve for x
    x = 2,072,582.37/1,886.77
  6. Step 6: Final answer
    x = 1,098.48

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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.