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Finding the Fourth Proportional to 2,807.30, 4,205.82 and 2,368.74

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Solution

The fourth proportional to 2,807.30, 4,205.82 and 2,368.74 is: 3,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.30 : 4,205.82 = 2,368.74 : x
  2. Step 2: Convert to fraction form
    2,807.30/4,205.82 = 2,368.74/x
  3. Step 3: Cross multiply
    2,807.30x = 4,205.82 × 2,368.74
  4. Step 4: Simplify right side
    2,807.30x = 9,962,494.07
  5. Step 5: Solve for x
    x = 9,962,494.07/2,807.30
  6. Step 6: Final answer
    x = 3,548.78

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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.