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Finding the Fourth Proportional to 2,291.44, 3,437.16 and 957.88

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Solution

The fourth proportional to 2,291.44, 3,437.16 and 957.88 is: 1,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.44 : 3,437.16 = 957.88 : x
  2. Step 2: Convert to fraction form
    2,291.44/3,437.16 = 957.88/x
  3. Step 3: Cross multiply
    2,291.44x = 3,437.16 × 957.88
  4. Step 4: Simplify right side
    2,291.44x = 3,292,386.82
  5. Step 5: Solve for x
    x = 3,292,386.82/2,291.44
  6. Step 6: Final answer
    x = 1,436.82

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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.