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Finding the Fourth Proportional to 2,886.13, 4,328.64 and 937.88

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Solution

The fourth proportional to 2,886.13, 4,328.64 and 937.88 is: 1,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.13 : 4,328.64 = 937.88 : x
  2. Step 2: Convert to fraction form
    2,886.13/4,328.64 = 937.88/x
  3. Step 3: Cross multiply
    2,886.13x = 4,328.64 × 937.88
  4. Step 4: Simplify right side
    2,886.13x = 4,059,739.47
  5. Step 5: Solve for x
    x = 4,059,739.47/2,886.13
  6. Step 6: Final answer
    x = 1,406.64

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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.