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Finding the Fourth Proportional to 3,602.10, 4,970.97 and 2,030.34

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Solution

The fourth proportional to 3,602.10, 4,970.97 and 2,030.34 is: 2,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.10 : 4,970.97 = 2,030.34 : x
  2. Step 2: Convert to fraction form
    3,602.10/4,970.97 = 2,030.34/x
  3. Step 3: Cross multiply
    3,602.10x = 4,970.97 × 2,030.34
  4. Step 4: Simplify right side
    3,602.10x = 10,092,759.23
  5. Step 5: Solve for x
    x = 10,092,759.23/3,602.10
  6. Step 6: Final answer
    x = 2,801.91

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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.