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Finding the Fourth Proportional to 2,556.46, 3,528.02 and 1,437.45

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Solution

The fourth proportional to 2,556.46, 3,528.02 and 1,437.45 is: 1,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.46 : 3,528.02 = 1,437.45 : x
  2. Step 2: Convert to fraction form
    2,556.46/3,528.02 = 1,437.45/x
  3. Step 3: Cross multiply
    2,556.46x = 3,528.02 × 1,437.45
  4. Step 4: Simplify right side
    2,556.46x = 5,071,342.71
  5. Step 5: Solve for x
    x = 5,071,342.71/2,556.46
  6. Step 6: Final answer
    x = 1,983.74

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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.