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Finding the Fourth Proportional to 1,756.29, 2,426.89 and 1,670.87

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Solution

The fourth proportional to 1,756.29, 2,426.89 and 1,670.87 is: 2,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.29 : 2,426.89 = 1,670.87 : x
  2. Step 2: Convert to fraction form
    1,756.29/2,426.89 = 1,670.87/x
  3. Step 3: Cross multiply
    1,756.29x = 2,426.89 × 1,670.87
  4. Step 4: Simplify right side
    1,756.29x = 4,055,017.69
  5. Step 5: Solve for x
    x = 4,055,017.69/1,756.29
  6. Step 6: Final answer
    x = 2,308.85

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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.