Home / 2,562.36-3,536-1,428.02

Finding the Fourth Proportional to 2,562.36, 3,536 and 1,428.02

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Solution

The fourth proportional to 2,562.36, 3,536 and 1,428.02 is: 1,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.36 : 3,536 = 1,428.02 : x
  2. Step 2: Convert to fraction form
    2,562.36/3,536 = 1,428.02/x
  3. Step 3: Cross multiply
    2,562.36x = 3,536 × 1,428.02
  4. Step 4: Simplify right side
    2,562.36x = 5,049,478.72
  5. Step 5: Solve for x
    x = 5,049,478.72/2,562.36
  6. Step 6: Final answer
    x = 1,970.64

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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.