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Finding the Fourth Proportional to 2,976.57, 4,464.72 and 1,417.32

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Solution

The fourth proportional to 2,976.57, 4,464.72 and 1,417.32 is: 2,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.57 : 4,464.72 = 1,417.32 : x
  2. Step 2: Convert to fraction form
    2,976.57/4,464.72 = 1,417.32/x
  3. Step 3: Cross multiply
    2,976.57x = 4,464.72 × 1,417.32
  4. Step 4: Simplify right side
    2,976.57x = 6,327,936.95
  5. Step 5: Solve for x
    x = 6,327,936.95/2,976.57
  6. Step 6: Final answer
    x = 2,125.92

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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.