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Finding the Fourth Proportional to 1,886.74, 2,828.52 and 653.37

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Solution

The fourth proportional to 1,886.74, 2,828.52 and 653.37 is: 979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.74 : 2,828.52 = 653.37 : x
  2. Step 2: Convert to fraction form
    1,886.74/2,828.52 = 653.37/x
  3. Step 3: Cross multiply
    1,886.74x = 2,828.52 × 653.37
  4. Step 4: Simplify right side
    1,886.74x = 1,848,059.51
  5. Step 5: Solve for x
    x = 1,848,059.51/1,886.74
  6. Step 6: Final answer
    x = 979.50

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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.