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Finding the Fourth Proportional to 1,651.34, 2,477.38 and 497.18

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Solution

The fourth proportional to 1,651.34, 2,477.38 and 497.18 is: 745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.34 : 2,477.38 = 497.18 : x
  2. Step 2: Convert to fraction form
    1,651.34/2,477.38 = 497.18/x
  3. Step 3: Cross multiply
    1,651.34x = 2,477.38 × 497.18
  4. Step 4: Simplify right side
    1,651.34x = 1,231,703.79
  5. Step 5: Solve for x
    x = 1,231,703.79/1,651.34
  6. Step 6: Final answer
    x = 745.88

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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.