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Finding the Fourth Proportional to 2,102.59, 2,903.66 and 1,442.35

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Solution

The fourth proportional to 2,102.59, 2,903.66 and 1,442.35 is: 1,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.59 : 2,903.66 = 1,442.35 : x
  2. Step 2: Convert to fraction form
    2,102.59/2,903.66 = 1,442.35/x
  3. Step 3: Cross multiply
    2,102.59x = 2,903.66 × 1,442.35
  4. Step 4: Simplify right side
    2,102.59x = 4,188,094.00
  5. Step 5: Solve for x
    x = 4,188,094.00/2,102.59
  6. Step 6: Final answer
    x = 1,991.87

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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.