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Finding the Fourth Proportional to 2,291.06, 3,437.99 and 904.16

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Solution

The fourth proportional to 2,291.06, 3,437.99 and 904.16 is: 1,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.06 : 3,437.99 = 904.16 : x
  2. Step 2: Convert to fraction form
    2,291.06/3,437.99 = 904.16/x
  3. Step 3: Cross multiply
    2,291.06x = 3,437.99 × 904.16
  4. Step 4: Simplify right side
    2,291.06x = 3,108,478.11
  5. Step 5: Solve for x
    x = 3,108,478.11/2,291.06
  6. Step 6: Final answer
    x = 1,356.79

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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.