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Finding the Fourth Proportional to 2,152.16, 2,970.01 and 1,255.88

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Solution

The fourth proportional to 2,152.16, 2,970.01 and 1,255.88 is: 1,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.16 : 2,970.01 = 1,255.88 : x
  2. Step 2: Convert to fraction form
    2,152.16/2,970.01 = 1,255.88/x
  3. Step 3: Cross multiply
    2,152.16x = 2,970.01 × 1,255.88
  4. Step 4: Simplify right side
    2,152.16x = 3,729,976.16
  5. Step 5: Solve for x
    x = 3,729,976.16/2,152.16
  6. Step 6: Final answer
    x = 1,733.13

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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.