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Finding the Fourth Proportional to 2,292.95, 3,437.06 and 904.41

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Solution

The fourth proportional to 2,292.95, 3,437.06 and 904.41 is: 1,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.95 : 3,437.06 = 904.41 : x
  2. Step 2: Convert to fraction form
    2,292.95/3,437.06 = 904.41/x
  3. Step 3: Cross multiply
    2,292.95x = 3,437.06 × 904.41
  4. Step 4: Simplify right side
    2,292.95x = 3,108,511.43
  5. Step 5: Solve for x
    x = 3,108,511.43/2,292.95
  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.