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Finding the Fourth Proportional to 1,853.87, 2,779.36 and 928.95

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Solution

The fourth proportional to 1,853.87, 2,779.36 and 928.95 is: 1,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.87 : 2,779.36 = 928.95 : x
  2. Step 2: Convert to fraction form
    1,853.87/2,779.36 = 928.95/x
  3. Step 3: Cross multiply
    1,853.87x = 2,779.36 × 928.95
  4. Step 4: Simplify right side
    1,853.87x = 2,581,886.47
  5. Step 5: Solve for x
    x = 2,581,886.47/1,853.87
  6. Step 6: Final answer
    x = 1,392.70

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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.