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Finding the Fourth Proportional to 1,897.02, 2,843.58 and 726.71

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Solution

The fourth proportional to 1,897.02, 2,843.58 and 726.71 is: 1,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.02 : 2,843.58 = 726.71 : x
  2. Step 2: Convert to fraction form
    1,897.02/2,843.58 = 726.71/x
  3. Step 3: Cross multiply
    1,897.02x = 2,843.58 × 726.71
  4. Step 4: Simplify right side
    1,897.02x = 2,066,444.49
  5. Step 5: Solve for x
    x = 2,066,444.49/1,897.02
  6. Step 6: Final answer
    x = 1,089.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.