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Finding the Fourth Proportional to 3,602.12, 4,970.97 and 2,030.20

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Solution

The fourth proportional to 3,602.12, 4,970.97 and 2,030.20 is: 2,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.12 : 4,970.97 = 2,030.20 : x
  2. Step 2: Convert to fraction form
    3,602.12/4,970.97 = 2,030.20/x
  3. Step 3: Cross multiply
    3,602.12x = 4,970.97 × 2,030.20
  4. Step 4: Simplify right side
    3,602.12x = 10,092,050.87
  5. Step 5: Solve for x
    x = 10,092,050.87/3,602.12
  6. Step 6: Final answer
    x = 2,801.70

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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.