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Finding the Fourth Proportional to 2,390.84, 3,586.26 and 1,405.16

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Solution

The fourth proportional to 2,390.84, 3,586.26 and 1,405.16 is: 2,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.84 : 3,586.26 = 1,405.16 : x
  2. Step 2: Convert to fraction form
    2,390.84/3,586.26 = 1,405.16/x
  3. Step 3: Cross multiply
    2,390.84x = 3,586.26 × 1,405.16
  4. Step 4: Simplify right side
    2,390.84x = 5,039,251.17
  5. Step 5: Solve for x
    x = 5,039,251.17/2,390.84
  6. Step 6: Final answer
    x = 2,107.74

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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.