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Finding the Fourth Proportional to 1,695.09, 2,541.15 and 872.94

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Solution

The fourth proportional to 1,695.09, 2,541.15 and 872.94 is: 1,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.09 : 2,541.15 = 872.94 : x
  2. Step 2: Convert to fraction form
    1,695.09/2,541.15 = 872.94/x
  3. Step 3: Cross multiply
    1,695.09x = 2,541.15 × 872.94
  4. Step 4: Simplify right side
    1,695.09x = 2,218,271.48
  5. Step 5: Solve for x
    x = 2,218,271.48/1,695.09
  6. Step 6: Final answer
    x = 1,308.65

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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.