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Finding the Fourth Proportional to 2,064.60, 2,849.12 and 1,180.40

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Solution

The fourth proportional to 2,064.60, 2,849.12 and 1,180.40 is: 1,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.60 : 2,849.12 = 1,180.40 : x
  2. Step 2: Convert to fraction form
    2,064.60/2,849.12 = 1,180.40/x
  3. Step 3: Cross multiply
    2,064.60x = 2,849.12 × 1,180.40
  4. Step 4: Simplify right side
    2,064.60x = 3,363,101.25
  5. Step 5: Solve for x
    x = 3,363,101.25/2,064.60
  6. Step 6: Final answer
    x = 1,628.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.