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Finding the Fourth Proportional to 2,262.70, 3,411.16 and 1,899.80

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Solution

The fourth proportional to 2,262.70, 3,411.16 and 1,899.80 is: 2,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.70 : 3,411.16 = 1,899.80 : x
  2. Step 2: Convert to fraction form
    2,262.70/3,411.16 = 1,899.80/x
  3. Step 3: Cross multiply
    2,262.70x = 3,411.16 × 1,899.80
  4. Step 4: Simplify right side
    2,262.70x = 6,480,521.77
  5. Step 5: Solve for x
    x = 6,480,521.77/2,262.70
  6. Step 6: Final answer
    x = 2,864.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.