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Finding the Fourth Proportional to 1,881.63, 2,596.74 and 1,135.57

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Solution

The fourth proportional to 1,881.63, 2,596.74 and 1,135.57 is: 1,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.63 : 2,596.74 = 1,135.57 : x
  2. Step 2: Convert to fraction form
    1,881.63/2,596.74 = 1,135.57/x
  3. Step 3: Cross multiply
    1,881.63x = 2,596.74 × 1,135.57
  4. Step 4: Simplify right side
    1,881.63x = 2,948,774.36
  5. Step 5: Solve for x
    x = 2,948,774.36/1,881.63
  6. Step 6: Final answer
    x = 1,567.14

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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.