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Finding the Fourth Proportional to 1,764.66, 2,434.86 and 1,065.90

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Solution

The fourth proportional to 1,764.66, 2,434.86 and 1,065.90 is: 1,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.66 : 2,434.86 = 1,065.90 : x
  2. Step 2: Convert to fraction form
    1,764.66/2,434.86 = 1,065.90/x
  3. Step 3: Cross multiply
    1,764.66x = 2,434.86 × 1,065.90
  4. Step 4: Simplify right side
    1,764.66x = 2,595,317.27
  5. Step 5: Solve for x
    x = 2,595,317.27/1,764.66
  6. Step 6: Final answer
    x = 1,470.72

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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.