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Finding the Fourth Proportional to 2,670.66, 3,681.72 and 2,357.46

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Solution

The fourth proportional to 2,670.66, 3,681.72 and 2,357.46 is: 3,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.66 : 3,681.72 = 2,357.46 : x
  2. Step 2: Convert to fraction form
    2,670.66/3,681.72 = 2,357.46/x
  3. Step 3: Cross multiply
    2,670.66x = 3,681.72 × 2,357.46
  4. Step 4: Simplify right side
    2,670.66x = 8,679,507.63
  5. Step 5: Solve for x
    x = 8,679,507.63/2,670.66
  6. Step 6: Final answer
    x = 3,249.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.