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Finding the Fourth Proportional to 2,709.68, 4,064.63 and 931.96

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Solution

The fourth proportional to 2,709.68, 4,064.63 and 931.96 is: 1,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.68 : 4,064.63 = 931.96 : x
  2. Step 2: Convert to fraction form
    2,709.68/4,064.63 = 931.96/x
  3. Step 3: Cross multiply
    2,709.68x = 4,064.63 × 931.96
  4. Step 4: Simplify right side
    2,709.68x = 3,788,070.62
  5. Step 5: Solve for x
    x = 3,788,070.62/2,709.68
  6. Step 6: Final answer
    x = 1,397.98

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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.