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Finding the Fourth Proportional to 2,543.28, 3,510 and 1,495.20

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Solution

The fourth proportional to 2,543.28, 3,510 and 1,495.20 is: 2,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.28 : 3,510 = 1,495.20 : x
  2. Step 2: Convert to fraction form
    2,543.28/3,510 = 1,495.20/x
  3. Step 3: Cross multiply
    2,543.28x = 3,510 × 1,495.20
  4. Step 4: Simplify right side
    2,543.28x = 5,248,152
  5. Step 5: Solve for x
    x = 5,248,152/2,543.28
  6. Step 6: Final answer
    x = 2,063.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.