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Finding the Fourth Proportional to 2,699.71, 4,047.96 and 1,054.33

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Solution

The fourth proportional to 2,699.71, 4,047.96 and 1,054.33 is: 1,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.71 : 4,047.96 = 1,054.33 : x
  2. Step 2: Convert to fraction form
    2,699.71/4,047.96 = 1,054.33/x
  3. Step 3: Cross multiply
    2,699.71x = 4,047.96 × 1,054.33
  4. Step 4: Simplify right side
    2,699.71x = 4,267,885.67
  5. Step 5: Solve for x
    x = 4,267,885.67/2,699.71
  6. Step 6: Final answer
    x = 1,580.87

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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.