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Finding the Fourth Proportional to 1,754, 2,412.80 and 1,682.96

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Solution

The fourth proportional to 1,754, 2,412.80 and 1,682.96 is: 2,315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754 : 2,412.80 = 1,682.96 : x
  2. Step 2: Convert to fraction form
    1,754/2,412.80 = 1,682.96/x
  3. Step 3: Cross multiply
    1,754x = 2,412.80 × 1,682.96
  4. Step 4: Simplify right side
    1,754x = 4,060,645.89
  5. Step 5: Solve for x
    x = 4,060,645.89/1,754
  6. Step 6: Final answer
    x = 2,315.08

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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.