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Finding the Fourth Proportional to 2,807.38, 4,208.10 and 1,345.60

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Solution

The fourth proportional to 2,807.38, 4,208.10 and 1,345.60 is: 2,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.38 : 4,208.10 = 1,345.60 : x
  2. Step 2: Convert to fraction form
    2,807.38/4,208.10 = 1,345.60/x
  3. Step 3: Cross multiply
    2,807.38x = 4,208.10 × 1,345.60
  4. Step 4: Simplify right side
    2,807.38x = 5,662,419.36
  5. Step 5: Solve for x
    x = 5,662,419.36/2,807.38
  6. Step 6: Final answer
    x = 2,016.98

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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.