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Finding the Fourth Proportional to 1,686.85, 2,326.35 and 1,057.46

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Solution

The fourth proportional to 1,686.85, 2,326.35 and 1,057.46 is: 1,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.85 : 2,326.35 = 1,057.46 : x
  2. Step 2: Convert to fraction form
    1,686.85/2,326.35 = 1,057.46/x
  3. Step 3: Cross multiply
    1,686.85x = 2,326.35 × 1,057.46
  4. Step 4: Simplify right side
    1,686.85x = 2,460,005.48
  5. Step 5: Solve for x
    x = 2,460,005.48/1,686.85
  6. Step 6: Final answer
    x = 1,458.34

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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.