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Finding the Fourth Proportional to 1,686.29, 2,328.24 and 1,057.07

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Solution

The fourth proportional to 1,686.29, 2,328.24 and 1,057.07 is: 1,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.29 : 2,328.24 = 1,057.07 : x
  2. Step 2: Convert to fraction form
    1,686.29/2,328.24 = 1,057.07/x
  3. Step 3: Cross multiply
    1,686.29x = 2,328.24 × 1,057.07
  4. Step 4: Simplify right side
    1,686.29x = 2,461,112.66
  5. Step 5: Solve for x
    x = 2,461,112.66/1,686.29
  6. Step 6: Final answer
    x = 1,459.48

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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.