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Finding the Fourth Proportional to 2,355.78, 3,534.24 and 712.23

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Solution

The fourth proportional to 2,355.78, 3,534.24 and 712.23 is: 1,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.78 : 3,534.24 = 712.23 : x
  2. Step 2: Convert to fraction form
    2,355.78/3,534.24 = 712.23/x
  3. Step 3: Cross multiply
    2,355.78x = 3,534.24 × 712.23
  4. Step 4: Simplify right side
    2,355.78x = 2,517,191.76
  5. Step 5: Solve for x
    x = 2,517,191.76/2,355.78
  6. Step 6: Final answer
    x = 1,068.52

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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.