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Finding the Fourth Proportional to 2,807.66, 4,213.58 and 1,054.28

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Solution

The fourth proportional to 2,807.66, 4,213.58 and 1,054.28 is: 1,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.66 : 4,213.58 = 1,054.28 : x
  2. Step 2: Convert to fraction form
    2,807.66/4,213.58 = 1,054.28/x
  3. Step 3: Cross multiply
    2,807.66x = 4,213.58 × 1,054.28
  4. Step 4: Simplify right side
    2,807.66x = 4,442,266.78
  5. Step 5: Solve for x
    x = 4,442,266.78/2,807.66
  6. Step 6: Final answer
    x = 1,582.20

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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.