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Finding the Fourth Proportional to 1,903.86, 2,626.80 and 1,117.62

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Solution

The fourth proportional to 1,903.86, 2,626.80 and 1,117.62 is: 1,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.86 : 2,626.80 = 1,117.62 : x
  2. Step 2: Convert to fraction form
    1,903.86/2,626.80 = 1,117.62/x
  3. Step 3: Cross multiply
    1,903.86x = 2,626.80 × 1,117.62
  4. Step 4: Simplify right side
    1,903.86x = 2,935,764.22
  5. Step 5: Solve for x
    x = 2,935,764.22/1,903.86
  6. Step 6: Final answer
    x = 1,542.01

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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.