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Finding the Fourth Proportional to 2,356.54, 3,534.65 and 817.02

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Solution

The fourth proportional to 2,356.54, 3,534.65 and 817.02 is: 1,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.54 : 3,534.65 = 817.02 : x
  2. Step 2: Convert to fraction form
    2,356.54/3,534.65 = 817.02/x
  3. Step 3: Cross multiply
    2,356.54x = 3,534.65 × 817.02
  4. Step 4: Simplify right side
    2,356.54x = 2,887,879.74
  5. Step 5: Solve for x
    x = 2,887,879.74/2,356.54
  6. Step 6: Final answer
    x = 1,225.47

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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.