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Finding the Fourth Proportional to 1,756.23, 2,426.81 and 1,670.81

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Solution

The fourth proportional to 1,756.23, 2,426.81 and 1,670.81 is: 2,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.23 : 2,426.81 = 1,670.81 : x
  2. Step 2: Convert to fraction form
    1,756.23/2,426.81 = 1,670.81/x
  3. Step 3: Cross multiply
    1,756.23x = 2,426.81 × 1,670.81
  4. Step 4: Simplify right side
    1,756.23x = 4,054,717.93
  5. Step 5: Solve for x
    x = 4,054,717.93/1,756.23
  6. Step 6: Final answer
    x = 2,308.76

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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.