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Finding the Fourth Proportional to 1,569.33, 2,350.62 and 1,477.32

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Solution

The fourth proportional to 1,569.33, 2,350.62 and 1,477.32 is: 2,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.33 : 2,350.62 = 1,477.32 : x
  2. Step 2: Convert to fraction form
    1,569.33/2,350.62 = 1,477.32/x
  3. Step 3: Cross multiply
    1,569.33x = 2,350.62 × 1,477.32
  4. Step 4: Simplify right side
    1,569.33x = 3,472,617.94
  5. Step 5: Solve for x
    x = 3,472,617.94/1,569.33
  6. Step 6: Final answer
    x = 2,212.80

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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.