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Finding the Fourth Proportional to 2,355.34, 3,534.30 and 795.82

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Solution

The fourth proportional to 2,355.34, 3,534.30 and 795.82 is: 1,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.34 : 3,534.30 = 795.82 : x
  2. Step 2: Convert to fraction form
    2,355.34/3,534.30 = 795.82/x
  3. Step 3: Cross multiply
    2,355.34x = 3,534.30 × 795.82
  4. Step 4: Simplify right side
    2,355.34x = 2,812,666.63
  5. Step 5: Solve for x
    x = 2,812,666.63/2,355.34
  6. Step 6: Final answer
    x = 1,194.17

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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.