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Finding the Fourth Proportional to 1,886.20, 2,829.60 and 653.75

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Solution

The fourth proportional to 1,886.20, 2,829.60 and 653.75 is: 980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.20 : 2,829.60 = 653.75 : x
  2. Step 2: Convert to fraction form
    1,886.20/2,829.60 = 653.75/x
  3. Step 3: Cross multiply
    1,886.20x = 2,829.60 × 653.75
  4. Step 4: Simplify right side
    1,886.20x = 1,849,851
  5. Step 5: Solve for x
    x = 1,849,851/1,886.20
  6. Step 6: Final answer
    x = 980.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.