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Finding the Fourth Proportional to 2,305.60, 3,459.60 and 1,007.20

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Solution

The fourth proportional to 2,305.60, 3,459.60 and 1,007.20 is: 1,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.60 : 3,459.60 = 1,007.20 : x
  2. Step 2: Convert to fraction form
    2,305.60/3,459.60 = 1,007.20/x
  3. Step 3: Cross multiply
    2,305.60x = 3,459.60 × 1,007.20
  4. Step 4: Simplify right side
    2,305.60x = 3,484,509.12
  5. Step 5: Solve for x
    x = 3,484,509.12/2,305.60
  6. Step 6: Final answer
    x = 1,511.32

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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.