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Finding the Fourth Proportional to 1,686.90, 2,529.36 and 1,038.09

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Solution

The fourth proportional to 1,686.90, 2,529.36 and 1,038.09 is: 1,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.90 : 2,529.36 = 1,038.09 : x
  2. Step 2: Convert to fraction form
    1,686.90/2,529.36 = 1,038.09/x
  3. Step 3: Cross multiply
    1,686.90x = 2,529.36 × 1,038.09
  4. Step 4: Simplify right side
    1,686.90x = 2,625,703.32
  5. Step 5: Solve for x
    x = 2,625,703.32/1,686.90
  6. Step 6: Final answer
    x = 1,556.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.