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Finding the Fourth Proportional to 3,442.75, 4,752.23 and 2,045.50

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Solution

The fourth proportional to 3,442.75, 4,752.23 and 2,045.50 is: 2,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.75 : 4,752.23 = 2,045.50 : x
  2. Step 2: Convert to fraction form
    3,442.75/4,752.23 = 2,045.50/x
  3. Step 3: Cross multiply
    3,442.75x = 4,752.23 × 2,045.50
  4. Step 4: Simplify right side
    3,442.75x = 9,720,686.47
  5. Step 5: Solve for x
    x = 9,720,686.47/3,442.75
  6. Step 6: Final answer
    x = 2,823.52

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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.