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Finding the Fourth Proportional to 2,430.66, 3,644.91 and 786.90

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Solution

The fourth proportional to 2,430.66, 3,644.91 and 786.90 is: 1,180.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.66 : 3,644.91 = 786.90 : x
  2. Step 2: Convert to fraction form
    2,430.66/3,644.91 = 786.90/x
  3. Step 3: Cross multiply
    2,430.66x = 3,644.91 × 786.90
  4. Step 4: Simplify right side
    2,430.66x = 2,868,179.68
  5. Step 5: Solve for x
    x = 2,868,179.68/2,430.66
  6. Step 6: Final answer
    x = 1,180.00

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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.