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Finding the Fourth Proportional to 1,729.61, 2,386.09 and 1,066.22

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Solution

The fourth proportional to 1,729.61, 2,386.09 and 1,066.22 is: 1,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.61 : 2,386.09 = 1,066.22 : x
  2. Step 2: Convert to fraction form
    1,729.61/2,386.09 = 1,066.22/x
  3. Step 3: Cross multiply
    1,729.61x = 2,386.09 × 1,066.22
  4. Step 4: Simplify right side
    1,729.61x = 2,544,096.88
  5. Step 5: Solve for x
    x = 2,544,096.88/1,729.61
  6. Step 6: Final answer
    x = 1,470.91

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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.