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Finding the Fourth Proportional to 1,406.34, 2,109.96 and 675.96

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Solution

The fourth proportional to 1,406.34, 2,109.96 and 675.96 is: 1,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.34 : 2,109.96 = 675.96 : x
  2. Step 2: Convert to fraction form
    1,406.34/2,109.96 = 675.96/x
  3. Step 3: Cross multiply
    1,406.34x = 2,109.96 × 675.96
  4. Step 4: Simplify right side
    1,406.34x = 1,426,248.56
  5. Step 5: Solve for x
    x = 1,426,248.56/1,406.34
  6. Step 6: Final answer
    x = 1,014.16

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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.