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Finding the Fourth Proportional to 2,356.67, 3,534.03 and 1,022.55

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Solution

The fourth proportional to 2,356.67, 3,534.03 and 1,022.55 is: 1,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.67 : 3,534.03 = 1,022.55 : x
  2. Step 2: Convert to fraction form
    2,356.67/3,534.03 = 1,022.55/x
  3. Step 3: Cross multiply
    2,356.67x = 3,534.03 × 1,022.55
  4. Step 4: Simplify right side
    2,356.67x = 3,613,714.82
  5. Step 5: Solve for x
    x = 3,613,714.82/2,356.67
  6. Step 6: Final answer
    x = 1,533.40

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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.