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Finding the Fourth Proportional to 1,886.70, 2,829.42 and 653.79

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Solution

The fourth proportional to 1,886.70, 2,829.42 and 653.79 is: 980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.70 : 2,829.42 = 653.79 : x
  2. Step 2: Convert to fraction form
    1,886.70/2,829.42 = 653.79/x
  3. Step 3: Cross multiply
    1,886.70x = 2,829.42 × 653.79
  4. Step 4: Simplify right side
    1,886.70x = 1,849,846.50
  5. Step 5: Solve for x
    x = 1,849,846.50/1,886.70
  6. Step 6: Final answer
    x = 980.47

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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.