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Finding the Fourth Proportional to 2,290.07, 3,432.81 and 904.39

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Solution

The fourth proportional to 2,290.07, 3,432.81 and 904.39 is: 1,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.07 : 3,432.81 = 904.39 : x
  2. Step 2: Convert to fraction form
    2,290.07/3,432.81 = 904.39/x
  3. Step 3: Cross multiply
    2,290.07x = 3,432.81 × 904.39
  4. Step 4: Simplify right side
    2,290.07x = 3,104,595.87
  5. Step 5: Solve for x
    x = 3,104,595.87/2,290.07
  6. Step 6: Final answer
    x = 1,355.68

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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.