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Finding the Fourth Proportional to 1,754.32, 2,421.09 and 1,008.46

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Solution

The fourth proportional to 1,754.32, 2,421.09 and 1,008.46 is: 1,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.32 : 2,421.09 = 1,008.46 : x
  2. Step 2: Convert to fraction form
    1,754.32/2,421.09 = 1,008.46/x
  3. Step 3: Cross multiply
    1,754.32x = 2,421.09 × 1,008.46
  4. Step 4: Simplify right side
    1,754.32x = 2,441,572.42
  5. Step 5: Solve for x
    x = 2,441,572.42/1,754.32
  6. Step 6: Final answer
    x = 1,391.75

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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.