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Finding the Fourth Proportional to 3,206.63, 4,810.13 and 898.31

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Solution

The fourth proportional to 3,206.63, 4,810.13 and 898.31 is: 1,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.63 : 4,810.13 = 898.31 : x
  2. Step 2: Convert to fraction form
    3,206.63/4,810.13 = 898.31/x
  3. Step 3: Cross multiply
    3,206.63x = 4,810.13 × 898.31
  4. Step 4: Simplify right side
    3,206.63x = 4,320,959.34
  5. Step 5: Solve for x
    x = 4,320,959.34/3,206.63
  6. Step 6: Final answer
    x = 1,347.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.