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Finding the Fourth Proportional to 1,878.57, 2,593.80 and 1,507.59

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Solution

The fourth proportional to 1,878.57, 2,593.80 and 1,507.59 is: 2,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.57 : 2,593.80 = 1,507.59 : x
  2. Step 2: Convert to fraction form
    1,878.57/2,593.80 = 1,507.59/x
  3. Step 3: Cross multiply
    1,878.57x = 2,593.80 × 1,507.59
  4. Step 4: Simplify right side
    1,878.57x = 3,910,386.94
  5. Step 5: Solve for x
    x = 3,910,386.94/1,878.57
  6. Step 6: Final answer
    x = 2,081.58

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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.