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Finding the Fourth Proportional to 2,420.64, 3,630.96 and 777.18

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Solution

The fourth proportional to 2,420.64, 3,630.96 and 777.18 is: 1,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.64 : 3,630.96 = 777.18 : x
  2. Step 2: Convert to fraction form
    2,420.64/3,630.96 = 777.18/x
  3. Step 3: Cross multiply
    2,420.64x = 3,630.96 × 777.18
  4. Step 4: Simplify right side
    2,420.64x = 2,821,909.49
  5. Step 5: Solve for x
    x = 2,821,909.49/2,420.64
  6. Step 6: Final answer
    x = 1,165.77

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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.