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Finding the Fourth Proportional to 3,602.41, 4,971.31 and 2,030.47

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Solution

The fourth proportional to 3,602.41, 4,971.31 and 2,030.47 is: 2,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.41 : 4,971.31 = 2,030.47 : x
  2. Step 2: Convert to fraction form
    3,602.41/4,971.31 = 2,030.47/x
  3. Step 3: Cross multiply
    3,602.41x = 4,971.31 × 2,030.47
  4. Step 4: Simplify right side
    3,602.41x = 10,094,078.31
  5. Step 5: Solve for x
    x = 10,094,078.31/3,602.41
  6. Step 6: Final answer
    x = 2,802.04

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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.