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Finding the Fourth Proportional to 2,088.48, 2,879.80 and 1,424

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Solution

The fourth proportional to 2,088.48, 2,879.80 and 1,424 is: 1,963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.48 : 2,879.80 = 1,424 : x
  2. Step 2: Convert to fraction form
    2,088.48/2,879.80 = 1,424/x
  3. Step 3: Cross multiply
    2,088.48x = 2,879.80 × 1,424
  4. Step 4: Simplify right side
    2,088.48x = 4,100,835.20
  5. Step 5: Solve for x
    x = 4,100,835.20/2,088.48
  6. Step 6: Final answer
    x = 1,963.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.