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Finding the Fourth Proportional to 3,484.08, 4,807.08 and 2,242.80

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Solution

The fourth proportional to 3,484.08, 4,807.08 and 2,242.80 is: 3,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.08 : 4,807.08 = 2,242.80 : x
  2. Step 2: Convert to fraction form
    3,484.08/4,807.08 = 2,242.80/x
  3. Step 3: Cross multiply
    3,484.08x = 4,807.08 × 2,242.80
  4. Step 4: Simplify right side
    3,484.08x = 10,781,319.02
  5. Step 5: Solve for x
    x = 10,781,319.02/3,484.08
  6. Step 6: Final answer
    x = 3,094.45

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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.