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Finding the Fourth Proportional to 2,847.57, 3,929.56 and 1,588.56

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Solution

The fourth proportional to 2,847.57, 3,929.56 and 1,588.56 is: 2,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.57 : 3,929.56 = 1,588.56 : x
  2. Step 2: Convert to fraction form
    2,847.57/3,929.56 = 1,588.56/x
  3. Step 3: Cross multiply
    2,847.57x = 3,929.56 × 1,588.56
  4. Step 4: Simplify right side
    2,847.57x = 6,242,341.83
  5. Step 5: Solve for x
    x = 6,242,341.83/2,847.57
  6. Step 6: Final answer
    x = 2,192.16

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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.