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Finding the Fourth Proportional to 3,244.90, 4,868.70 and 1,054.30

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Solution

The fourth proportional to 3,244.90, 4,868.70 and 1,054.30 is: 1,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.90 : 4,868.70 = 1,054.30 : x
  2. Step 2: Convert to fraction form
    3,244.90/4,868.70 = 1,054.30/x
  3. Step 3: Cross multiply
    3,244.90x = 4,868.70 × 1,054.30
  4. Step 4: Simplify right side
    3,244.90x = 5,133,070.41
  5. Step 5: Solve for x
    x = 5,133,070.41/3,244.90
  6. Step 6: Final answer
    x = 1,581.89

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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.