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Finding the Fourth Proportional to 1,695.48, 2,543.70 and 1,011

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Solution

The fourth proportional to 1,695.48, 2,543.70 and 1,011 is: 1,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.48 : 2,543.70 = 1,011 : x
  2. Step 2: Convert to fraction form
    1,695.48/2,543.70 = 1,011/x
  3. Step 3: Cross multiply
    1,695.48x = 2,543.70 × 1,011
  4. Step 4: Simplify right side
    1,695.48x = 2,571,680.70
  5. Step 5: Solve for x
    x = 2,571,680.70/1,695.48
  6. Step 6: Final answer
    x = 1,516.79

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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.