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Finding the Fourth Proportional to 1,854.04, 2,779.75 and 928.93

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Solution

The fourth proportional to 1,854.04, 2,779.75 and 928.93 is: 1,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.04 : 2,779.75 = 928.93 : x
  2. Step 2: Convert to fraction form
    1,854.04/2,779.75 = 928.93/x
  3. Step 3: Cross multiply
    1,854.04x = 2,779.75 × 928.93
  4. Step 4: Simplify right side
    1,854.04x = 2,582,188.52
  5. Step 5: Solve for x
    x = 2,582,188.52/1,854.04
  6. Step 6: Final answer
    x = 1,392.74

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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.