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Finding the Fourth Proportional to 1,416.07, 1,953.75 and 826.49

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Solution

The fourth proportional to 1,416.07, 1,953.75 and 826.49 is: 1,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.07 : 1,953.75 = 826.49 : x
  2. Step 2: Convert to fraction form
    1,416.07/1,953.75 = 826.49/x
  3. Step 3: Cross multiply
    1,416.07x = 1,953.75 × 826.49
  4. Step 4: Simplify right side
    1,416.07x = 1,614,754.84
  5. Step 5: Solve for x
    x = 1,614,754.84/1,416.07
  6. Step 6: Final answer
    x = 1,140.31

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