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Finding the Fourth Proportional to 3,011.96, 4,518.71 and 1,256.40

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Solution

The fourth proportional to 3,011.96, 4,518.71 and 1,256.40 is: 1,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.96 : 4,518.71 = 1,256.40 : x
  2. Step 2: Convert to fraction form
    3,011.96/4,518.71 = 1,256.40/x
  3. Step 3: Cross multiply
    3,011.96x = 4,518.71 × 1,256.40
  4. Step 4: Simplify right side
    3,011.96x = 5,677,300.96
  5. Step 5: Solve for x
    x = 5,677,300.96/3,011.96
  6. Step 6: Final answer
    x = 1,884.92

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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.