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Finding the Fourth Proportional to 1,574.88, 2,361 and 957.84

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Solution

The fourth proportional to 1,574.88, 2,361 and 957.84 is: 1,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.88 : 2,361 = 957.84 : x
  2. Step 2: Convert to fraction form
    1,574.88/2,361 = 957.84/x
  3. Step 3: Cross multiply
    1,574.88x = 2,361 × 957.84
  4. Step 4: Simplify right side
    1,574.88x = 2,261,460.24
  5. Step 5: Solve for x
    x = 2,261,460.24/1,574.88
  6. Step 6: Final answer
    x = 1,435.96

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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.