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Finding the Fourth Proportional to 2,154.09, 2,972.28 and 1,270.06

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Solution

The fourth proportional to 2,154.09, 2,972.28 and 1,270.06 is: 1,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.09 : 2,972.28 = 1,270.06 : x
  2. Step 2: Convert to fraction form
    2,154.09/2,972.28 = 1,270.06/x
  3. Step 3: Cross multiply
    2,154.09x = 2,972.28 × 1,270.06
  4. Step 4: Simplify right side
    2,154.09x = 3,774,973.66
  5. Step 5: Solve for x
    x = 3,774,973.66/2,154.09
  6. Step 6: Final answer
    x = 1,752.47

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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.