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Finding the Fourth Proportional to 1,230.45, 1,835.33 and 1,119.72

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Solution

The fourth proportional to 1,230.45, 1,835.33 and 1,119.72 is: 1,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.45 : 1,835.33 = 1,119.72 : x
  2. Step 2: Convert to fraction form
    1,230.45/1,835.33 = 1,119.72/x
  3. Step 3: Cross multiply
    1,230.45x = 1,835.33 × 1,119.72
  4. Step 4: Simplify right side
    1,230.45x = 2,055,050.11
  5. Step 5: Solve for x
    x = 2,055,050.11/1,230.45
  6. Step 6: Final answer
    x = 1,670.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.