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Finding the Fourth Proportional to 1,486.47, 2,227.62 and 561.09

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Solution

The fourth proportional to 1,486.47, 2,227.62 and 561.09 is: 840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.47 : 2,227.62 = 561.09 : x
  2. Step 2: Convert to fraction form
    1,486.47/2,227.62 = 561.09/x
  3. Step 3: Cross multiply
    1,486.47x = 2,227.62 × 561.09
  4. Step 4: Simplify right side
    1,486.47x = 1,249,895.31
  5. Step 5: Solve for x
    x = 1,249,895.31/1,486.47
  6. Step 6: Final answer
    x = 840.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.