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Finding the Fourth Proportional to 3,248.34, 4,873.14 and 1,604.46

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Solution

The fourth proportional to 3,248.34, 4,873.14 and 1,604.46 is: 2,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.34 : 4,873.14 = 1,604.46 : x
  2. Step 2: Convert to fraction form
    3,248.34/4,873.14 = 1,604.46/x
  3. Step 3: Cross multiply
    3,248.34x = 4,873.14 × 1,604.46
  4. Step 4: Simplify right side
    3,248.34x = 7,818,758.20
  5. Step 5: Solve for x
    x = 7,818,758.20/3,248.34
  6. Step 6: Final answer
    x = 2,407.00

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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.