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Finding the Fourth Proportional to 1,608.96, 2,400.32 and 1,564.32

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Solution

The fourth proportional to 1,608.96, 2,400.32 and 1,564.32 is: 2,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.96 : 2,400.32 = 1,564.32 : x
  2. Step 2: Convert to fraction form
    1,608.96/2,400.32 = 1,564.32/x
  3. Step 3: Cross multiply
    1,608.96x = 2,400.32 × 1,564.32
  4. Step 4: Simplify right side
    1,608.96x = 3,754,868.58
  5. Step 5: Solve for x
    x = 3,754,868.58/1,608.96
  6. Step 6: Final answer
    x = 2,333.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.