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Finding the Fourth Proportional to 1,645.10, 2,465.52 and 1,230.99

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Solution

The fourth proportional to 1,645.10, 2,465.52 and 1,230.99 is: 1,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.10 : 2,465.52 = 1,230.99 : x
  2. Step 2: Convert to fraction form
    1,645.10/2,465.52 = 1,230.99/x
  3. Step 3: Cross multiply
    1,645.10x = 2,465.52 × 1,230.99
  4. Step 4: Simplify right side
    1,645.10x = 3,035,030.46
  5. Step 5: Solve for x
    x = 3,035,030.46/1,645.10
  6. Step 6: Final answer
    x = 1,844.89

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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.