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Finding the Fourth Proportional to 2,356.04, 3,533.90 and 816.52

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Solution

The fourth proportional to 2,356.04, 3,533.90 and 816.52 is: 1,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.04 : 3,533.90 = 816.52 : x
  2. Step 2: Convert to fraction form
    2,356.04/3,533.90 = 816.52/x
  3. Step 3: Cross multiply
    2,356.04x = 3,533.90 × 816.52
  4. Step 4: Simplify right side
    2,356.04x = 2,885,500.03
  5. Step 5: Solve for x
    x = 2,885,500.03/2,356.04
  6. Step 6: Final answer
    x = 1,224.72

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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.