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Finding the Fourth Proportional to 1,876.23, 2,587.95 and 1,482.57

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Solution

The fourth proportional to 1,876.23, 2,587.95 and 1,482.57 is: 2,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.23 : 2,587.95 = 1,482.57 : x
  2. Step 2: Convert to fraction form
    1,876.23/2,587.95 = 1,482.57/x
  3. Step 3: Cross multiply
    1,876.23x = 2,587.95 × 1,482.57
  4. Step 4: Simplify right side
    1,876.23x = 3,836,817.03
  5. Step 5: Solve for x
    x = 3,836,817.03/1,876.23
  6. Step 6: Final answer
    x = 2,044.96

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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.