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Finding the Fourth Proportional to 1,870.96, 2,580.24 and 1,608.88

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Solution

The fourth proportional to 1,870.96, 2,580.24 and 1,608.88 is: 2,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.96 : 2,580.24 = 1,608.88 : x
  2. Step 2: Convert to fraction form
    1,870.96/2,580.24 = 1,608.88/x
  3. Step 3: Cross multiply
    1,870.96x = 2,580.24 × 1,608.88
  4. Step 4: Simplify right side
    1,870.96x = 4,151,296.53
  5. Step 5: Solve for x
    x = 4,151,296.53/1,870.96
  6. Step 6: Final answer
    x = 2,218.81

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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.