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Finding the Fourth Proportional to 1,837.58, 2,535.71 and 1,009.58

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Solution

The fourth proportional to 1,837.58, 2,535.71 and 1,009.58 is: 1,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.58 : 2,535.71 = 1,009.58 : x
  2. Step 2: Convert to fraction form
    1,837.58/2,535.71 = 1,009.58/x
  3. Step 3: Cross multiply
    1,837.58x = 2,535.71 × 1,009.58
  4. Step 4: Simplify right side
    1,837.58x = 2,560,002.10
  5. Step 5: Solve for x
    x = 2,560,002.10/1,837.58
  6. Step 6: Final answer
    x = 1,393.14

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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.