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Finding the Fourth Proportional to 2,522.49, 3,480.08 and 1,564.96

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Solution

The fourth proportional to 2,522.49, 3,480.08 and 1,564.96 is: 2,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.49 : 3,480.08 = 1,564.96 : x
  2. Step 2: Convert to fraction form
    2,522.49/3,480.08 = 1,564.96/x
  3. Step 3: Cross multiply
    2,522.49x = 3,480.08 × 1,564.96
  4. Step 4: Simplify right side
    2,522.49x = 5,446,186.00
  5. Step 5: Solve for x
    x = 5,446,186.00/2,522.49
  6. Step 6: Final answer
    x = 2,159.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.