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Finding the Fourth Proportional to 2,053.17, 2,830.04 and 1,604.25

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Solution

The fourth proportional to 2,053.17, 2,830.04 and 1,604.25 is: 2,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.17 : 2,830.04 = 1,604.25 : x
  2. Step 2: Convert to fraction form
    2,053.17/2,830.04 = 1,604.25/x
  3. Step 3: Cross multiply
    2,053.17x = 2,830.04 × 1,604.25
  4. Step 4: Simplify right side
    2,053.17x = 4,540,102.76
  5. Step 5: Solve for x
    x = 4,540,102.76/2,053.17
  6. Step 6: Final answer
    x = 2,211.27

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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.