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Finding the Fourth Proportional to 3,602.54, 4,972.02 and 2,030.78

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Solution

The fourth proportional to 3,602.54, 4,972.02 and 2,030.78 is: 2,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.54 : 4,972.02 = 2,030.78 : x
  2. Step 2: Convert to fraction form
    3,602.54/4,972.02 = 2,030.78/x
  3. Step 3: Cross multiply
    3,602.54x = 4,972.02 × 2,030.78
  4. Step 4: Simplify right side
    3,602.54x = 10,097,078.78
  5. Step 5: Solve for x
    x = 10,097,078.78/3,602.54
  6. Step 6: Final answer
    x = 2,802.77

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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.