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Finding the Fourth Proportional to 1,759.57, 2,428.28 and 1,013.51

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Solution

The fourth proportional to 1,759.57, 2,428.28 and 1,013.51 is: 1,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.57 : 2,428.28 = 1,013.51 : x
  2. Step 2: Convert to fraction form
    1,759.57/2,428.28 = 1,013.51/x
  3. Step 3: Cross multiply
    1,759.57x = 2,428.28 × 1,013.51
  4. Step 4: Simplify right side
    1,759.57x = 2,461,086.06
  5. Step 5: Solve for x
    x = 2,461,086.06/1,759.57
  6. Step 6: Final answer
    x = 1,398.69

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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.