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Finding the Fourth Proportional to 1,870.40, 2,582.26 and 1,662.80

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Solution

The fourth proportional to 1,870.40, 2,582.26 and 1,662.80 is: 2,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.40 : 2,582.26 = 1,662.80 : x
  2. Step 2: Convert to fraction form
    1,870.40/2,582.26 = 1,662.80/x
  3. Step 3: Cross multiply
    1,870.40x = 2,582.26 × 1,662.80
  4. Step 4: Simplify right side
    1,870.40x = 4,293,764.86
  5. Step 5: Solve for x
    x = 4,293,764.86/1,870.40
  6. Step 6: Final answer
    x = 2,295.64

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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.