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Finding the Fourth Proportional to 2,093.41, 2,889.57 and 1,430.02

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Solution

The fourth proportional to 2,093.41, 2,889.57 and 1,430.02 is: 1,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.41 : 2,889.57 = 1,430.02 : x
  2. Step 2: Convert to fraction form
    2,093.41/2,889.57 = 1,430.02/x
  3. Step 3: Cross multiply
    2,093.41x = 2,889.57 × 1,430.02
  4. Step 4: Simplify right side
    2,093.41x = 4,132,142.89
  5. Step 5: Solve for x
    x = 4,132,142.89/2,093.41
  6. Step 6: Final answer
    x = 1,973.88

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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.