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Finding the Fourth Proportional to 1,837.71, 2,535.77 and 1,051.61

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Solution

The fourth proportional to 1,837.71, 2,535.77 and 1,051.61 is: 1,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.71 : 2,535.77 = 1,051.61 : x
  2. Step 2: Convert to fraction form
    1,837.71/2,535.77 = 1,051.61/x
  3. Step 3: Cross multiply
    1,837.71x = 2,535.77 × 1,051.61
  4. Step 4: Simplify right side
    1,837.71x = 2,666,631.04
  5. Step 5: Solve for x
    x = 2,666,631.04/1,837.71
  6. Step 6: Final answer
    x = 1,451.06

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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.