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Finding the Fourth Proportional to 1,877.43, 2,590.74 and 1,131.63

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Solution

The fourth proportional to 1,877.43, 2,590.74 and 1,131.63 is: 1,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.43 : 2,590.74 = 1,131.63 : x
  2. Step 2: Convert to fraction form
    1,877.43/2,590.74 = 1,131.63/x
  3. Step 3: Cross multiply
    1,877.43x = 2,590.74 × 1,131.63
  4. Step 4: Simplify right side
    1,877.43x = 2,931,759.11
  5. Step 5: Solve for x
    x = 2,931,759.11/1,877.43
  6. Step 6: Final answer
    x = 1,561.58

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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.