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Finding the Fourth Proportional to 1,732.88, 2,582.86 and 1,686.72

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Solution

The fourth proportional to 1,732.88, 2,582.86 and 1,686.72 is: 2,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.88 : 2,582.86 = 1,686.72 : x
  2. Step 2: Convert to fraction form
    1,732.88/2,582.86 = 1,686.72/x
  3. Step 3: Cross multiply
    1,732.88x = 2,582.86 × 1,686.72
  4. Step 4: Simplify right side
    1,732.88x = 4,356,561.62
  5. Step 5: Solve for x
    x = 4,356,561.62/1,732.88
  6. Step 6: Final answer
    x = 2,514.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.