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Finding the Fourth Proportional to 1,904.48, 2,856.16 and 734.39

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Solution

The fourth proportional to 1,904.48, 2,856.16 and 734.39 is: 1,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.48 : 2,856.16 = 734.39 : x
  2. Step 2: Convert to fraction form
    1,904.48/2,856.16 = 734.39/x
  3. Step 3: Cross multiply
    1,904.48x = 2,856.16 × 734.39
  4. Step 4: Simplify right side
    1,904.48x = 2,097,535.34
  5. Step 5: Solve for x
    x = 2,097,535.34/1,904.48
  6. Step 6: Final answer
    x = 1,101.37

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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.