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Finding the Fourth Proportional to 1,406.19, 2,109.42 and 675.12

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Solution

The fourth proportional to 1,406.19, 2,109.42 and 675.12 is: 1,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.19 : 2,109.42 = 675.12 : x
  2. Step 2: Convert to fraction form
    1,406.19/2,109.42 = 675.12/x
  3. Step 3: Cross multiply
    1,406.19x = 2,109.42 × 675.12
  4. Step 4: Simplify right side
    1,406.19x = 1,424,111.63
  5. Step 5: Solve for x
    x = 1,424,111.63/1,406.19
  6. Step 6: Final answer
    x = 1,012.74

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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.