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Finding the Fourth Proportional to 1,886.31, 2,830.28 and 653.90

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Solution

The fourth proportional to 1,886.31, 2,830.28 and 653.90 is: 981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.31 : 2,830.28 = 653.90 : x
  2. Step 2: Convert to fraction form
    1,886.31/2,830.28 = 653.90/x
  3. Step 3: Cross multiply
    1,886.31x = 2,830.28 × 653.90
  4. Step 4: Simplify right side
    1,886.31x = 1,850,702.67
  5. Step 5: Solve for x
    x = 1,850,702.67/1,886.31
  6. Step 6: Final answer
    x = 981.12

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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.