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Finding the Fourth Proportional to 1,886.93, 2,830.39 and 1,237.51

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Solution

The fourth proportional to 1,886.93, 2,830.39 and 1,237.51 is: 1,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.93 : 2,830.39 = 1,237.51 : x
  2. Step 2: Convert to fraction form
    1,886.93/2,830.39 = 1,237.51/x
  3. Step 3: Cross multiply
    1,886.93x = 2,830.39 × 1,237.51
  4. Step 4: Simplify right side
    1,886.93x = 3,502,629.30
  5. Step 5: Solve for x
    x = 3,502,629.30/1,886.93
  6. Step 6: Final answer
    x = 1,856.26

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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.