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Finding the Fourth Proportional to 1,841.40, 2,541.56 and 1,133.86

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Solution

The fourth proportional to 1,841.40, 2,541.56 and 1,133.86 is: 1,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.40 : 2,541.56 = 1,133.86 : x
  2. Step 2: Convert to fraction form
    1,841.40/2,541.56 = 1,133.86/x
  3. Step 3: Cross multiply
    1,841.40x = 2,541.56 × 1,133.86
  4. Step 4: Simplify right side
    1,841.40x = 2,881,773.22
  5. Step 5: Solve for x
    x = 2,881,773.22/1,841.40
  6. Step 6: Final answer
    x = 1,564.99

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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.