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Finding the Fourth Proportional to 1,886.29, 2,829.20 and 499.70

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Solution

The fourth proportional to 1,886.29, 2,829.20 and 499.70 is: 749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.29 : 2,829.20 = 499.70 : x
  2. Step 2: Convert to fraction form
    1,886.29/2,829.20 = 499.70/x
  3. Step 3: Cross multiply
    1,886.29x = 2,829.20 × 499.70
  4. Step 4: Simplify right side
    1,886.29x = 1,413,755.81
  5. Step 5: Solve for x
    x = 1,413,755.81/1,886.29
  6. Step 6: Final answer
    x = 749.49

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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.