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Finding the Fourth Proportional to 1,913.56, 2,871.56 and 1,281.76

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Solution

The fourth proportional to 1,913.56, 2,871.56 and 1,281.76 is: 1,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.56 : 2,871.56 = 1,281.76 : x
  2. Step 2: Convert to fraction form
    1,913.56/2,871.56 = 1,281.76/x
  3. Step 3: Cross multiply
    1,913.56x = 2,871.56 × 1,281.76
  4. Step 4: Simplify right side
    1,913.56x = 3,680,650.75
  5. Step 5: Solve for x
    x = 3,680,650.75/1,913.56
  6. Step 6: Final answer
    x = 1,923.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.