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Finding the Fourth Proportional to 2,966.57, 4,445.88 and 2,309.24

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Solution

The fourth proportional to 2,966.57, 4,445.88 and 2,309.24 is: 3,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.57 : 4,445.88 = 2,309.24 : x
  2. Step 2: Convert to fraction form
    2,966.57/4,445.88 = 2,309.24/x
  3. Step 3: Cross multiply
    2,966.57x = 4,445.88 × 2,309.24
  4. Step 4: Simplify right side
    2,966.57x = 10,266,603.93
  5. Step 5: Solve for x
    x = 10,266,603.93/2,966.57
  6. Step 6: Final answer
    x = 3,460.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.