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Finding the Fourth Proportional to 1,877.87, 2,588.71 and 1,316.65

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Solution

The fourth proportional to 1,877.87, 2,588.71 and 1,316.65 is: 1,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.87 : 2,588.71 = 1,316.65 : x
  2. Step 2: Convert to fraction form
    1,877.87/2,588.71 = 1,316.65/x
  3. Step 3: Cross multiply
    1,877.87x = 2,588.71 × 1,316.65
  4. Step 4: Simplify right side
    1,877.87x = 3,408,412.08
  5. Step 5: Solve for x
    x = 3,408,412.08/1,877.87
  6. Step 6: Final answer
    x = 1,815.04

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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.