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Finding the Fourth Proportional to 2,354.56, 3,528.54 and 1,564.85

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Solution

The fourth proportional to 2,354.56, 3,528.54 and 1,564.85 is: 2,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.56 : 3,528.54 = 1,564.85 : x
  2. Step 2: Convert to fraction form
    2,354.56/3,528.54 = 1,564.85/x
  3. Step 3: Cross multiply
    2,354.56x = 3,528.54 × 1,564.85
  4. Step 4: Simplify right side
    2,354.56x = 5,521,644.64
  5. Step 5: Solve for x
    x = 5,521,644.64/2,354.56
  6. Step 6: Final answer
    x = 2,345.09

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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.