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Finding the Fourth Proportional to 1,888.83, 2,830.35 and 792.60

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Solution

The fourth proportional to 1,888.83, 2,830.35 and 792.60 is: 1,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.83 : 2,830.35 = 792.60 : x
  2. Step 2: Convert to fraction form
    1,888.83/2,830.35 = 792.60/x
  3. Step 3: Cross multiply
    1,888.83x = 2,830.35 × 792.60
  4. Step 4: Simplify right side
    1,888.83x = 2,243,335.41
  5. Step 5: Solve for x
    x = 2,243,335.41/1,888.83
  6. Step 6: Final answer
    x = 1,187.69

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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.