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Finding the Fourth Proportional to 3,118.30, 4,677.75 and 926.64

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Solution

The fourth proportional to 3,118.30, 4,677.75 and 926.64 is: 1,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.30 : 4,677.75 = 926.64 : x
  2. Step 2: Convert to fraction form
    3,118.30/4,677.75 = 926.64/x
  3. Step 3: Cross multiply
    3,118.30x = 4,677.75 × 926.64
  4. Step 4: Simplify right side
    3,118.30x = 4,334,590.26
  5. Step 5: Solve for x
    x = 4,334,590.26/3,118.30
  6. Step 6: Final answer
    x = 1,390.05

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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.