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Finding the Fourth Proportional to 2,807.95, 4,206.66 and 2,348.68

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Solution

The fourth proportional to 2,807.95, 4,206.66 and 2,348.68 is: 3,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.95 : 4,206.66 = 2,348.68 : x
  2. Step 2: Convert to fraction form
    2,807.95/4,206.66 = 2,348.68/x
  3. Step 3: Cross multiply
    2,807.95x = 4,206.66 × 2,348.68
  4. Step 4: Simplify right side
    2,807.95x = 9,880,098.21
  5. Step 5: Solve for x
    x = 9,880,098.21/2,807.95
  6. Step 6: Final answer
    x = 3,518.62

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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.