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Finding the Fourth Proportional to 2,267.81, 3,127.04 and 1,470.08

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Solution

The fourth proportional to 2,267.81, 3,127.04 and 1,470.08 is: 2,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.81 : 3,127.04 = 1,470.08 : x
  2. Step 2: Convert to fraction form
    2,267.81/3,127.04 = 1,470.08/x
  3. Step 3: Cross multiply
    2,267.81x = 3,127.04 × 1,470.08
  4. Step 4: Simplify right side
    2,267.81x = 4,597,010.46
  5. Step 5: Solve for x
    x = 4,597,010.46/2,267.81
  6. Step 6: Final answer
    x = 2,027.07

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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.