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Finding the Fourth Proportional to 1,455.86, 2,008.76 and 866.27

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Solution

The fourth proportional to 1,455.86, 2,008.76 and 866.27 is: 1,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.86 : 2,008.76 = 866.27 : x
  2. Step 2: Convert to fraction form
    1,455.86/2,008.76 = 866.27/x
  3. Step 3: Cross multiply
    1,455.86x = 2,008.76 × 866.27
  4. Step 4: Simplify right side
    1,455.86x = 1,740,135.71
  5. Step 5: Solve for x
    x = 1,740,135.71/1,455.86
  6. Step 6: Final answer
    x = 1,195.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.