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Finding the Fourth Proportional to 2,152.56, 2,969.28 and 1,454.88

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Solution

The fourth proportional to 2,152.56, 2,969.28 and 1,454.88 is: 2,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.56 : 2,969.28 = 1,454.88 : x
  2. Step 2: Convert to fraction form
    2,152.56/2,969.28 = 1,454.88/x
  3. Step 3: Cross multiply
    2,152.56x = 2,969.28 × 1,454.88
  4. Step 4: Simplify right side
    2,152.56x = 4,319,946.09
  5. Step 5: Solve for x
    x = 4,319,946.09/2,152.56
  6. Step 6: Final answer
    x = 2,006.89

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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.