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Finding the Fourth Proportional to 1,742.94, 2,407.83 and 1,372.38

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Solution

The fourth proportional to 1,742.94, 2,407.83 and 1,372.38 is: 1,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.94 : 2,407.83 = 1,372.38 : x
  2. Step 2: Convert to fraction form
    1,742.94/2,407.83 = 1,372.38/x
  3. Step 3: Cross multiply
    1,742.94x = 2,407.83 × 1,372.38
  4. Step 4: Simplify right side
    1,742.94x = 3,304,457.74
  5. Step 5: Solve for x
    x = 3,304,457.74/1,742.94
  6. Step 6: Final answer
    x = 1,895.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.