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Finding the Fourth Proportional to 2,549.18, 3,821.70 and 904.70

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Solution

The fourth proportional to 2,549.18, 3,821.70 and 904.70 is: 1,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.18 : 3,821.70 = 904.70 : x
  2. Step 2: Convert to fraction form
    2,549.18/3,821.70 = 904.70/x
  3. Step 3: Cross multiply
    2,549.18x = 3,821.70 × 904.70
  4. Step 4: Simplify right side
    2,549.18x = 3,457,491.99
  5. Step 5: Solve for x
    x = 3,457,491.99/2,549.18
  6. Step 6: Final answer
    x = 1,356.32

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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.