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Finding the Fourth Proportional to 2,752.40, 3,803.63 and 2,045.27

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Solution

The fourth proportional to 2,752.40, 3,803.63 and 2,045.27 is: 2,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.40 : 3,803.63 = 2,045.27 : x
  2. Step 2: Convert to fraction form
    2,752.40/3,803.63 = 2,045.27/x
  3. Step 3: Cross multiply
    2,752.40x = 3,803.63 × 2,045.27
  4. Step 4: Simplify right side
    2,752.40x = 7,779,449.61
  5. Step 5: Solve for x
    x = 7,779,449.61/2,752.40
  6. Step 6: Final answer
    x = 2,826.42

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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.