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Finding the Fourth Proportional to 1,551.15, 2,327.21 and 497.12

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Solution

The fourth proportional to 1,551.15, 2,327.21 and 497.12 is: 745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.15 : 2,327.21 = 497.12 : x
  2. Step 2: Convert to fraction form
    1,551.15/2,327.21 = 497.12/x
  3. Step 3: Cross multiply
    1,551.15x = 2,327.21 × 497.12
  4. Step 4: Simplify right side
    1,551.15x = 1,156,907.83
  5. Step 5: Solve for x
    x = 1,156,907.83/1,551.15
  6. Step 6: Final answer
    x = 745.84

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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.