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Finding the Fourth Proportional to 1,874.42, 2,588.36 and 1,167.47

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Solution

The fourth proportional to 1,874.42, 2,588.36 and 1,167.47 is: 1,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.42 : 2,588.36 = 1,167.47 : x
  2. Step 2: Convert to fraction form
    1,874.42/2,588.36 = 1,167.47/x
  3. Step 3: Cross multiply
    1,874.42x = 2,588.36 × 1,167.47
  4. Step 4: Simplify right side
    1,874.42x = 3,021,832.65
  5. Step 5: Solve for x
    x = 3,021,832.65/1,874.42
  6. Step 6: Final answer
    x = 1,612.14

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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.