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Finding the Fourth Proportional to 2,355.88, 3,534.54 and 817

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Solution

The fourth proportional to 2,355.88, 3,534.54 and 817 is: 1,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.88 : 3,534.54 = 817 : x
  2. Step 2: Convert to fraction form
    2,355.88/3,534.54 = 817/x
  3. Step 3: Cross multiply
    2,355.88x = 3,534.54 × 817
  4. Step 4: Simplify right side
    2,355.88x = 2,887,719.18
  5. Step 5: Solve for x
    x = 2,887,719.18/2,355.88
  6. Step 6: Final answer
    x = 1,225.75

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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.