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Finding the Fourth Proportional to 2,512.95, 3,758.49 and 1,470.48

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Solution

The fourth proportional to 2,512.95, 3,758.49 and 1,470.48 is: 2,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.95 : 3,758.49 = 1,470.48 : x
  2. Step 2: Convert to fraction form
    2,512.95/3,758.49 = 1,470.48/x
  3. Step 3: Cross multiply
    2,512.95x = 3,758.49 × 1,470.48
  4. Step 4: Simplify right side
    2,512.95x = 5,526,784.38
  5. Step 5: Solve for x
    x = 5,526,784.38/2,512.95
  6. Step 6: Final answer
    x = 2,199.32

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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.