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Finding the Fourth Proportional to 1,707.83, 2,355.18 and 1,582.07

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Solution

The fourth proportional to 1,707.83, 2,355.18 and 1,582.07 is: 2,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.83 : 2,355.18 = 1,582.07 : x
  2. Step 2: Convert to fraction form
    1,707.83/2,355.18 = 1,582.07/x
  3. Step 3: Cross multiply
    1,707.83x = 2,355.18 × 1,582.07
  4. Step 4: Simplify right side
    1,707.83x = 3,726,059.62
  5. Step 5: Solve for x
    x = 3,726,059.62/1,707.83
  6. Step 6: Final answer
    x = 2,181.75

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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.