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Finding the Fourth Proportional to 2,055.60, 3,080.52 and 900.72

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Solution

The fourth proportional to 2,055.60, 3,080.52 and 900.72 is: 1,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.60 : 3,080.52 = 900.72 : x
  2. Step 2: Convert to fraction form
    2,055.60/3,080.52 = 900.72/x
  3. Step 3: Cross multiply
    2,055.60x = 3,080.52 × 900.72
  4. Step 4: Simplify right side
    2,055.60x = 2,774,685.97
  5. Step 5: Solve for x
    x = 2,774,685.97/2,055.60
  6. Step 6: Final answer
    x = 1,349.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.