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Finding the Fourth Proportional to 2,807.34, 4,210.97 and 1,346.10

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Solution

The fourth proportional to 2,807.34, 4,210.97 and 1,346.10 is: 2,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.34 : 4,210.97 = 1,346.10 : x
  2. Step 2: Convert to fraction form
    2,807.34/4,210.97 = 1,346.10/x
  3. Step 3: Cross multiply
    2,807.34x = 4,210.97 × 1,346.10
  4. Step 4: Simplify right side
    2,807.34x = 5,668,379.99
  5. Step 5: Solve for x
    x = 5,668,379.99/2,807.34
  6. Step 6: Final answer
    x = 2,019.13

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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.