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Finding the Fourth Proportional to 2,345.51, 3,519.05 and 785.67

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Solution

The fourth proportional to 2,345.51, 3,519.05 and 785.67 is: 1,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.51 : 3,519.05 = 785.67 : x
  2. Step 2: Convert to fraction form
    2,345.51/3,519.05 = 785.67/x
  3. Step 3: Cross multiply
    2,345.51x = 3,519.05 × 785.67
  4. Step 4: Simplify right side
    2,345.51x = 2,764,794.89
  5. Step 5: Solve for x
    x = 2,764,794.89/2,345.51
  6. Step 6: Final answer
    x = 1,178.76

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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.