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Finding the Fourth Proportional to 2,875.60, 4,313.20 and 795.56

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Solution

The fourth proportional to 2,875.60, 4,313.20 and 795.56 is: 1,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.60 : 4,313.20 = 795.56 : x
  2. Step 2: Convert to fraction form
    2,875.60/4,313.20 = 795.56/x
  3. Step 3: Cross multiply
    2,875.60x = 4,313.20 × 795.56
  4. Step 4: Simplify right side
    2,875.60x = 3,431,409.39
  5. Step 5: Solve for x
    x = 3,431,409.39/2,875.60
  6. Step 6: Final answer
    x = 1,193.28

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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.