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Finding the Fourth Proportional to 1,535.04, 2,297.70 and 1,211.04

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Solution

The fourth proportional to 1,535.04, 2,297.70 and 1,211.04 is: 1,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.04 : 2,297.70 = 1,211.04 : x
  2. Step 2: Convert to fraction form
    1,535.04/2,297.70 = 1,211.04/x
  3. Step 3: Cross multiply
    1,535.04x = 2,297.70 × 1,211.04
  4. Step 4: Simplify right side
    1,535.04x = 2,782,606.61
  5. Step 5: Solve for x
    x = 2,782,606.61/1,535.04
  6. Step 6: Final answer
    x = 1,812.73

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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.