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Finding the Fourth Proportional to 1,837.47, 2,738.69 and 1,733.69

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Solution

The fourth proportional to 1,837.47, 2,738.69 and 1,733.69 is: 2,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.47 : 2,738.69 = 1,733.69 : x
  2. Step 2: Convert to fraction form
    1,837.47/2,738.69 = 1,733.69/x
  3. Step 3: Cross multiply
    1,837.47x = 2,738.69 × 1,733.69
  4. Step 4: Simplify right side
    1,837.47x = 4,748,017.10
  5. Step 5: Solve for x
    x = 4,748,017.10/1,837.47
  6. Step 6: Final answer
    x = 2,584.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.