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Finding the Fourth Proportional to 2,054.16, 3,080.66 and 957.44

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Solution

The fourth proportional to 2,054.16, 3,080.66 and 957.44 is: 1,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.16 : 3,080.66 = 957.44 : x
  2. Step 2: Convert to fraction form
    2,054.16/3,080.66 = 957.44/x
  3. Step 3: Cross multiply
    2,054.16x = 3,080.66 × 957.44
  4. Step 4: Simplify right side
    2,054.16x = 2,949,547.11
  5. Step 5: Solve for x
    x = 2,949,547.11/2,054.16
  6. Step 6: Final answer
    x = 1,435.89

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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.