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Finding the Fourth Proportional to 2,209.16, 3,313.72 and 1,051.40

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Solution

The fourth proportional to 2,209.16, 3,313.72 and 1,051.40 is: 1,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.16 : 3,313.72 = 1,051.40 : x
  2. Step 2: Convert to fraction form
    2,209.16/3,313.72 = 1,051.40/x
  3. Step 3: Cross multiply
    2,209.16x = 3,313.72 × 1,051.40
  4. Step 4: Simplify right side
    2,209.16x = 3,484,045.21
  5. Step 5: Solve for x
    x = 3,484,045.21/2,209.16
  6. Step 6: Final answer
    x = 1,577.09

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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.