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Finding the Fourth Proportional to 3,456.90, 4,770.25 and 2,130.63

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Solution

The fourth proportional to 3,456.90, 4,770.25 and 2,130.63 is: 2,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.90 : 4,770.25 = 2,130.63 : x
  2. Step 2: Convert to fraction form
    3,456.90/4,770.25 = 2,130.63/x
  3. Step 3: Cross multiply
    3,456.90x = 4,770.25 × 2,130.63
  4. Step 4: Simplify right side
    3,456.90x = 10,163,637.76
  5. Step 5: Solve for x
    x = 10,163,637.76/3,456.90
  6. Step 6: Final answer
    x = 2,940.10

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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.