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Finding the Fourth Proportional to 1,838.61, 2,537.20 and 1,041.91

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Solution

The fourth proportional to 1,838.61, 2,537.20 and 1,041.91 is: 1,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.61 : 2,537.20 = 1,041.91 : x
  2. Step 2: Convert to fraction form
    1,838.61/2,537.20 = 1,041.91/x
  3. Step 3: Cross multiply
    1,838.61x = 2,537.20 × 1,041.91
  4. Step 4: Simplify right side
    1,838.61x = 2,643,534.05
  5. Step 5: Solve for x
    x = 2,643,534.05/1,838.61
  6. Step 6: Final answer
    x = 1,437.79

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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.