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Finding the Fourth Proportional to 1,573.96, 2,360.83 and 957.52

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Solution

The fourth proportional to 1,573.96, 2,360.83 and 957.52 is: 1,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.96 : 2,360.83 = 957.52 : x
  2. Step 2: Convert to fraction form
    1,573.96/2,360.83 = 957.52/x
  3. Step 3: Cross multiply
    1,573.96x = 2,360.83 × 957.52
  4. Step 4: Simplify right side
    1,573.96x = 2,260,541.94
  5. Step 5: Solve for x
    x = 2,260,541.94/1,573.96
  6. Step 6: Final answer
    x = 1,436.21

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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.