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Finding the Fourth Proportional to 1,645.79, 2,465.07 and 1,184.46

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Solution

The fourth proportional to 1,645.79, 2,465.07 and 1,184.46 is: 1,774.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.79 : 2,465.07 = 1,184.46 : x
  2. Step 2: Convert to fraction form
    1,645.79/2,465.07 = 1,184.46/x
  3. Step 3: Cross multiply
    1,645.79x = 2,465.07 × 1,184.46
  4. Step 4: Simplify right side
    1,645.79x = 2,919,763.13
  5. Step 5: Solve for x
    x = 2,919,763.13/1,645.79
  6. Step 6: Final answer
    x = 1,774.09

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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.