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Finding the Fourth Proportional to 2,356.66, 3,536.35 and 1,261.64

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Solution

The fourth proportional to 2,356.66, 3,536.35 and 1,261.64 is: 1,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.66 : 3,536.35 = 1,261.64 : x
  2. Step 2: Convert to fraction form
    2,356.66/3,536.35 = 1,261.64/x
  3. Step 3: Cross multiply
    2,356.66x = 3,536.35 × 1,261.64
  4. Step 4: Simplify right side
    2,356.66x = 4,461,579.78
  5. Step 5: Solve for x
    x = 4,461,579.78/2,356.66
  6. Step 6: Final answer
    x = 1,893.18

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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.