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Finding the Fourth Proportional to 1,913.68, 2,870.76 and 743.72

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Solution

The fourth proportional to 1,913.68, 2,870.76 and 743.72 is: 1,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.68 : 2,870.76 = 743.72 : x
  2. Step 2: Convert to fraction form
    1,913.68/2,870.76 = 743.72/x
  3. Step 3: Cross multiply
    1,913.68x = 2,870.76 × 743.72
  4. Step 4: Simplify right side
    1,913.68x = 2,135,041.63
  5. Step 5: Solve for x
    x = 2,135,041.63/1,913.68
  6. Step 6: Final answer
    x = 1,115.67

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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.