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Finding the Fourth Proportional to 3,282, 4,925.16 and 1,550.76

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Solution

The fourth proportional to 3,282, 4,925.16 and 1,550.76 is: 2,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282 : 4,925.16 = 1,550.76 : x
  2. Step 2: Convert to fraction form
    3,282/4,925.16 = 1,550.76/x
  3. Step 3: Cross multiply
    3,282x = 4,925.16 × 1,550.76
  4. Step 4: Simplify right side
    3,282x = 7,637,741.12
  5. Step 5: Solve for x
    x = 7,637,741.12/3,282
  6. Step 6: Final answer
    x = 2,327.16

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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.