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Finding the Fourth Proportional to 1,837.24, 2,535.40 and 1,009.24

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Solution

The fourth proportional to 1,837.24, 2,535.40 and 1,009.24 is: 1,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.24 : 2,535.40 = 1,009.24 : x
  2. Step 2: Convert to fraction form
    1,837.24/2,535.40 = 1,009.24/x
  3. Step 3: Cross multiply
    1,837.24x = 2,535.40 × 1,009.24
  4. Step 4: Simplify right side
    1,837.24x = 2,558,827.10
  5. Step 5: Solve for x
    x = 2,558,827.10/1,837.24
  6. Step 6: Final answer
    x = 1,392.76

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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.