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Finding the Fourth Proportional to 1,615.98, 2,228.84 and 1,026.70

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Solution

The fourth proportional to 1,615.98, 2,228.84 and 1,026.70 is: 1,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.98 : 2,228.84 = 1,026.70 : x
  2. Step 2: Convert to fraction form
    1,615.98/2,228.84 = 1,026.70/x
  3. Step 3: Cross multiply
    1,615.98x = 2,228.84 × 1,026.70
  4. Step 4: Simplify right side
    1,615.98x = 2,288,350.03
  5. Step 5: Solve for x
    x = 2,288,350.03/1,615.98
  6. Step 6: Final answer
    x = 1,416.08

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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.