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Finding the Fourth Proportional to 3,442.84, 4,751.53 and 2,045.59

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Solution

The fourth proportional to 3,442.84, 4,751.53 and 2,045.59 is: 2,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.84 : 4,751.53 = 2,045.59 : x
  2. Step 2: Convert to fraction form
    3,442.84/4,751.53 = 2,045.59/x
  3. Step 3: Cross multiply
    3,442.84x = 4,751.53 × 2,045.59
  4. Step 4: Simplify right side
    3,442.84x = 9,719,682.25
  5. Step 5: Solve for x
    x = 9,719,682.25/3,442.84
  6. Step 6: Final answer
    x = 2,823.16

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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.