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Finding the Fourth Proportional to 1,876.92, 2,588.40 and 1,484.88

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Solution

The fourth proportional to 1,876.92, 2,588.40 and 1,484.88 is: 2,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.92 : 2,588.40 = 1,484.88 : x
  2. Step 2: Convert to fraction form
    1,876.92/2,588.40 = 1,484.88/x
  3. Step 3: Cross multiply
    1,876.92x = 2,588.40 × 1,484.88
  4. Step 4: Simplify right side
    1,876.92x = 3,843,463.39
  5. Step 5: Solve for x
    x = 3,843,463.39/1,876.92
  6. Step 6: Final answer
    x = 2,047.75

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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.