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Finding the Fourth Proportional to 3,602.89, 4,971.92 and 2,030.98

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Solution

The fourth proportional to 3,602.89, 4,971.92 and 2,030.98 is: 2,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.89 : 4,971.92 = 2,030.98 : x
  2. Step 2: Convert to fraction form
    3,602.89/4,971.92 = 2,030.98/x
  3. Step 3: Cross multiply
    3,602.89x = 4,971.92 × 2,030.98
  4. Step 4: Simplify right side
    3,602.89x = 10,097,859.93
  5. Step 5: Solve for x
    x = 10,097,859.93/3,602.89
  6. Step 6: Final answer
    x = 2,802.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.