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Finding the Fourth Proportional to 2,798.60, 4,189.80 and 1,875.20

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Solution

The fourth proportional to 2,798.60, 4,189.80 and 1,875.20 is: 2,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.60 : 4,189.80 = 1,875.20 : x
  2. Step 2: Convert to fraction form
    2,798.60/4,189.80 = 1,875.20/x
  3. Step 3: Cross multiply
    2,798.60x = 4,189.80 × 1,875.20
  4. Step 4: Simplify right side
    2,798.60x = 7,856,712.96
  5. Step 5: Solve for x
    x = 7,856,712.96/2,798.60
  6. Step 6: Final answer
    x = 2,807.37

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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.