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Finding the Fourth Proportional to 1,874.96, 2,804.08 and 1,407.60

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Solution

The fourth proportional to 1,874.96, 2,804.08 and 1,407.60 is: 2,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.96 : 2,804.08 = 1,407.60 : x
  2. Step 2: Convert to fraction form
    1,874.96/2,804.08 = 1,407.60/x
  3. Step 3: Cross multiply
    1,874.96x = 2,804.08 × 1,407.60
  4. Step 4: Simplify right side
    1,874.96x = 3,947,023.01
  5. Step 5: Solve for x
    x = 3,947,023.01/1,874.96
  6. Step 6: Final answer
    x = 2,105.12

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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.